Question

If the sum of first n terms of an ap is n square then find its 10th term

Answer 1

The 10th term of an A.P is 19.

Step-by-step explanation:

Given : If the sum of first n terms of an A.P is n square.

To find : Its 10th term ?

Solution :

The sum of first n terms of an A.P is n square.

i.e. $S_n=n^2$

Put n=1 for first term,

$S_1=1^2=1$

The first term is $a_1=1$.

Put n=2 for sum of two terms.

$S_2=2^2=4$

i.e. $a_1+a_2=4$

$1+a_2=4$

$a_2=3$

The common difference is $d=a_2-a_1$

$d=3-1$

$d=2$

The 10th term of the A.P is given by,

$a_{10}=a+9d$

$a_{10}=1+9(2)$

$a_{10}=1+18$

$a_{10}=19$

Therefore, the 10th term of an A.P is 19.

#Learn more

If the sum of first n terms is same as the sum of first m terms of an AP then find the sum of first m+n terms of the AP​

https://brainly.in/question/13031916

Answer 2

Answer:

the 10th term of the ap is 19