Question

Find the 35th term of an ap 6,9,12,15

Answer 1

Answer:

108

Step-by-step explanation:

an= a+(n-1)d

    = 6+(35-1)*3

    = 6+102=108

therefore the 35th term of this A.P is 108

Answer 2

In the above Question , the following AP series is given -

Series -

6, 9, 12 , 15 , .....

To find -

Find the 35th term of this series .

Solution -

Here ,

The given series is -

6, 9, 12, 15 , ....

Here , the initial term , a is 6 .

The common difference , d -

=> 9 - 6 = 12 - 9 = 15 - 12 = d

=> d = 3 .

Now , we know that the n th term of an AP can be expressed as -

=> a + ( n - 1 ) d

=> 6 + ( n - 1 ) 3

=> 6 + 3n - 3

=> 3 n + 3 .

Now , we have to find the 35th term. .

35th term -

=> 3 × 35 + 3

=> 105 + 3 .

=> 108 .

Thus , the 35 th term of this given series is 108 .

This is the required answer .

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