Rumus Aritmatika

  1. BARISAN ARITMATIKA

    U1, U2, U3, .......Un-1, Un disebut barisan aritmatika, jika
    U- U1 = U- U2 = .... = Un - Un-1 = konstanta

    Selisih ini disebut juga beda (b) = b =Un - Un-1 

    Suku ke-n barisan aritmatika a, a+b, a+2b, ......... , a+(n-1)b
                                          U1, U2,   U3 ............., Un

    Rumus Suku ke-n :

    Un = a + (n-1)b = bn + (a-b) ® Fungsi linier dalam n


      DERET ARITMATIKA·
    a + (a+b) + (a+2b) + . . . . . . + (a + (n-1) b) disebut deret aritmatika.
    a = suku awal
    b = beda
    n = banyak suku
    Un = a + (n - 1) b adalah suku ke-n
    Jumlah n suku

    Sn = 1/2 n(a+Un)
          = 1/2 n[2a+(n-1)b]
          = 1/2bn² + (a - 1/2b)n ® Fungsi kuadrat (dalam n)
    Keterangan:
    1.    Beda antara dua suku yang berurutan adalah tetap (b = Sn")
    2.  Barisan aritmatika akan naik jika b > 0
    Barisan aritmatika akan turun jika b < 0
    3.  Berlaku hubungan Un = Sn - Sn-1 atau Un = Sn' - 1/2 Sn"
    4.  Jika banyaknya suku ganjil, maka suku tengah

    Ut = 1/2 (U1 + Un) = 1/2 (U2 + Un-1)          dst.
    5.  Sn = 1/2 n(a+ Un) = nUt ® Ut = Sn / n
    6.  Jika tiga bilangan membentuk suatu barisan aritmatika, maka untuk memudahkan perhitungan misalkan bilangan-bilangan itu adalah a - b , a , a + b

The Important Tenses at English Language


1. Present Tense (Waktu Sekarang)a. Simple Present Tense (Waktu Sekarang Sederhana)Rumus :
+ } S + V1 + O/C
- } S + Do/does + not + V1 + O/C
? } Do/does + S + V1 + O/C
Example :
+ } Sisca Reads book everyday
- } Sisca does not Read book everyday
? } does Sisca Read book everyday
Yes He does / No He does not (doesn’t)
For I, We, You, They = do
He, She, It = Does
Contoh kalimat :
(+) She is a new people here.
(+) He plays football every morning
(-) She isn’t a new people here.
(-) He does not playing football every morning.
(?) Is she a new people here?
(?) How playing football every morning?
b. Present Continuous Tense (Waktu Berlangsung Sekarang)Menerangkan suatu perbuatan yabg sedang berlangsungpada waktu sekarang.
Rumus :
+ } S + Be + V1 + ing + O/C            >>           + } They are playing badmintoon now
- } S + Be + not + V1 + ing + O/C >>           – } They are not playing badmintoon now
? } Be + S + V1 + ing + O/C            >>           ? } Are they palaying badmintoon now ?
Yes They are / no they are not
For I = am
They, we, you = are
He, She, It = Is
Contoh dalam kalimat :
(+) He is playing badminton now
(-) He isn’t playing badminton now.
(?) Is he playing badminton now.
c. Present Perfect Tense (Waktu Sempurna Sekarang)Rumus :
subject+auxiliary verb+main verb
Contoh :
(+) you have eaten mine.
(-) she has not been to Rome
(?) have you finished?
d. Present Perfect Continuous Tense (Waktu Berlangsung Sempurna Sekarang)Rumus :
(+): S + have/has + been + Ving
(-): S + have/has + not + been + Ving
(?): Have/has + S + been + Ving
Contoh :
(+) She has been going to Malang since evening.
(+) We have been riding a horse for three days
(-) She hasn’t been going to Malang since evening.
(-) We haven’t been riding a horse for three days.
(?) Has she been going to Malang ?
(?) Have He been riding a horse for three days ?
2. Past Tense (Waktu Lampau)a. Simple Past Tense (Waktu Lampau Sederhana)Rumus :
+} S+Be+Was/Were+O/C
-} S+Be+Was/Were+not+O/C
?} Be+Was/Were+ S+O/C
Example :
+} We were at school yesterday
-} We were not at school yesterday
?} were we at school yesterday ?
For I, He, She, It = Was
They, we, you = were
Contoh :
(+) I saw a good film last night
(+) He came here last month
(-) I saw not a good film last night
(-) He came not last month
(?) Saw I a good film last night
(?) Came He here last month
b. Past Continuous Tense (Waktu Berlangsung Lampau)Rumus :
(+): S + was/were + Ving
(-): S + was/were + NOT + Ving
(?): Was/Were + S + Ving
Contoh :
(+) He was watching television all afternoon last week
(+) They were talking about sport when I met him
(-) He wasn’t watching television all afternoon last week
(-) They weren’t talking about sport when I met him
(?) Was He watching television all afternoon last week
(?) Were they talking about sport when I met him
c. Past Perfect Tense (Waktu Sempurna Lampau)Rumus :
subject+auxiliary verb HAVE+main verb
(+): S + had + V3
(-): S + had + not + V3
(?): Had + S + V3
Contoh :
(+) When my brother arrived , I had painted my motor cycle
(+) The ship had left before I arrived
(-) When my brother arrived , I hadn’t painted my motor cycle
(-) The ship hadn’t left before I arrived
(?) Had I my motor cycle , when my brother arrived ?
(?) Had the ship left before I arrived?
d. Past Perfect Continuous Tense (Waktu Berlangsung Sempurna Lampau)Rumus :
subject+auxiliary verb HAVE+auxiliary verb BE+main verb
Contoh :
(+) They had been living there for two month
(+) When they washed my drees , your father had been playing badminton
(-) They hadn’t been living there for two month
(-) When they washed my dress , your father hadn’t been playing badminton
(?) Had they been living there for two month?
(?) When they washed my dress , had your father been playing badminton ?
3. Future Tense (Akan Datang)a. Simple Future Tense (Waktu Akan Datang Sederhana)Rumus :
subject+auxiliary verb WILL+main verb
Contoh :
(+) I will visit to yogyakarta tomorrow.
(+) he will met girl friend by seven o’clock
(?) Will he go to America next month?
(+) President shall at Nederland the day after tomorrow.
(-) President shall not at Nederland the day after tomorrow.
(?) Shall President at Nederland the day after tomorrow?
b. Future Continuous Tense (Waktu Berlangsung Akan Datang)Rumus :
subject+auxiliary verb WILL+auxiliary verb BE+main verb
Contoh :
(+) I will be writing a comic.
(+) I will be studying tomorrow night.
(-) I will not writing a comic.
(-) I will not be studying tomorrow night.
(?) Will I be writing a comic ?
(?) Will I be studying tomorrow night ?
c. Future Perfect Tense (Waktu Sempurna Akan Datang)Rumus :
subject+auxiliary verb WILL+auxiliary verb HAVE+main verb
Contoh :
(+) Iwill havefinishedby 10am.
(+) Youwill haveforgottenme by then.
(-) Shewillnothavegoneto school.
(-) Wewillnothaveleft.
(?) Willyou havearrived?
(?) Willthey havereceivedit?
d. Future Perfect Continuous Tense (Waktu Berlangsung Sempurna Akan Datang)Rumus :
subject+auxiliary verb WILL+auxiliary verb HAVE+auxiliary verb BE+main verb
Contoh :
(+) I will have been reading a news paper.
(+) He will have been listening music.
(-) I will haven’t been reading a news paper.
(-) He will haven’t listening a music.
(?) Will I have been riding a news paper ?
(?) Will He have listening a music ?
4. Past Future Tense (Akan Datang Di Waktu Lampau)a. Past Future Tense (Waktu Akan Datang Di Waktu Lampau)Rumus :
Positif: S + would + V1
Negatif: S + would + not + V1
Tanya:  Would + S + V1
Contoh :
(+) He would come if you invited him.
(+) They would buy a home the previous day.
(-) He wouldn’t come if invited him.
(-) They wouldn’t buy a home the previous day.
(?) Would He come if invited him ?
(?) Would they buy a home the previous day ?
b. Past Future Continuous Tense (Waktu Akan Sedang Terjadi Diwaktu Lampau)Rumus :
Positif: S + would + be + Ving
Negatif: S + would + not + be + Ving
Tanya: Would + S + be + Ving
Contoh :
(+) I should be swimming at this time the following day.
(+) I shall be sliping at 10 o’clock tomorrow.
(-) I shouldn’t be swimming at this time the following day.
(-) I shalln’t be sleeping at 10 o’clock tomorrow.
(?) Shall I be swimming at this time the following day ?
(?) Shall I be sleeping at10 o’clock tomorrow ?
c. Past Future Perfect Tense (Waktu Akan Sudah Selesai Di Waktu Lampau)Rumus :
Positif: S + would + have + V3
Negatif: S + would + not + have + V3
Tanya: Would + S + have + V3
Contoh :
(+) He would have graduated if he had studies hard.
(+) Nonok will have studied moth by the end of this week.
(-) He wouldn’t have gone if he had met his darling
(-) Nonok will have not studied month by the end of this week
(?) Would He have gone if he had met his darling ?
(?) Will Nonok have studied month by the end of this week ?
d. Past Future Perfect Continuous Tense(Waktu Yang Sudah Sedang Berlangsung Pada Waktu Lampau)
Rumus :
Positif: S + would + have + been + Ving
Negatif: S + would + not + have + been + Ving
Tanya: Would + S + have + been + Ving
Contoh :
Rianawati would have been speaking English for two years
(+) Mrs. Anisa Munif would have been walking here for seventeen years
(+) Rianawati would have been speaking English for two years
(-) Mrs. Anisa Munif wouldn’t have been walking here for seventeen year
(-) Rianawati wouldn’t have been speaking English for two years
(?) Would Mrs. Anisa Munif have been walking here for seventeen years?
(?) Would Rianawati have been speaking English for two years?

How To Overcome Your Problem?

Everyone has personal problems but they can not solve their problems by their own efforts. Below are tips to solve the problem:

-Face Problems With Fortitude


We must remain strong and steadfast to our problems remain patient and what we are facing the problem honestly.


-Telling Your Problems to Your Parents


Each of us has something important issues that we should tell the parents because we feel it will be better and we can also get advice from our parents


-Solving problems diligently


The problem to be solved with diligence so that the problem can be solved with kindness rather than evil. We also have to try to resolve the problem we face.

How to Cope with Lazy Learning?

Most people are always lazy to learn as they say learning is a boring thing but they're not because we're going to be motivated as we learn and gain knowledge of the unknown.
The things to overcome lazy learning are:
- Learning the right time
It is when we do every day then we will feel more passion because we're sleeping and studying at the right time. The exact hour is at 21.00WIB, That's a great time to sleep and not to be too tired to learn a maximum of 6 hours.
-Learning a comfortable place
We have to choose a place which is convenient because in order to keep our concentration while studying. If there is a noise that bothers you avoid it and stay away.
-Do not sleep while studying
You have to learn in the morning and during the day because at the time wanted to sleep you will feel bored and tired so lazy learning.
-Seek 15 minutes to read a book
This will get you to the spirit of learning by the time you read the book will continue to stimulate our brains and continue to think that the longer we will be diligent to read the book.


Some Benefits of Sports

Exercise to burn fat. Well, this is certainly. In fact it is the goal of most people to exercise. Exercise done regularly proven to burn fat and slimming.
Exercise can increase endurance. The hormone adrenaline or serotonin is a hormone that can increase endurance against various diseases such as coughs and colds. With air exercise, these hormones can function effectively. So that our immune system will also increase.
blood circulation and respiration
prevent bone loss (especially as we age),
maintaining a healthy weight, just do not hold baseball sports eating, yaa become increasingly destroyed
Sports to delay the aging process. Benefits of the next exercise is to prevent the changes in the body that occur with age such as saggy skin, wrinkles, etc.. Sports activities on a regular basis can help the formation of new cells and prevent wrinkles that cause skin to become wrinkled / slack.
Certain types of exercise can also provide specific functions, such as swimming and basketball to elevate the body.

 
cyb3rWelcome to My Blog, Please Visit My Blog, Follow Now and Use the Google Chrome to complete the javascript