Math, asked by vidyamenasumane75, 1 year ago

which terms of the series 711+15+...... is 403?


Anonymous: but its a series ........ a series is like 1,2,3............ there's a pattern
abhineet15: oh!!! god.... I don't know. ..
abhineet15: sorry to say ...thennn how to solve this. .
Anonymous: wait i am trying ok
abhineet15: okay...!!!!
Anonymous: got it :
abhineet15: howw how. .
abhineet15: tell plzz hehehe
Anonymous: see my answer after i complete it
abhineet15: okay! !!!

Answers

Answered by Anonymous
7

Actually after thinking very hard I could figure out that your series is :

7 , 11 , 15 , ................................. 403

This is an AP or Arithmetic Progression .

Woah it took me 20 minutes to understand that anyways :

We take first term as a

The common difference is d.

a = 7

d = 11 - 7 = 4

  or , 15 - 11 = 4

d = 4

Let 403 be the n th term .

We know that n th term of an AP is a + ( n - 1 ) d

                                                     ==> a + ( n - 1 ) d = 403

                                                     ==> 7 + ( n - 1 ) 4 = 403

                                                     ==> (n - 1) 4 = 403 - 7

                                                     ==> (n - 1)4 = 396

                                                     ==> (n - 1) = 396 / 4

                                                     ==> n - 1 = 99

                                                     ==> n = 99 + 1

                                                     ==> n = 100

The n th term is 403 .

100 th term is 403 .

The answer to your question is 100

Hope it helps you :-)

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abhineet15: nice explanation.!!!!
Anonymous: thanks
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