Question

the sum of first n term of an ap is given by
$sn = 2n { }^{2} + 3n$
find the sixteen term of the ap

Answer 1

I got the answer. I think it helps. Thanku

Answer 2

Here is your solution

Given as 

sn​=2n^2+3n 

To find out we need to find first term and Common difference 

Let n= 1

We got the first term a = 5

Now also put n=2 

Since it's the sum of 2 term =14

2nd term = S2 - a 
= 14 - 5 
= 9 

Now we have 
a1 = 5 and a2 = 9 

Now d = a2- a1 
d = 9 - 5 = 4 

Now 16th term 

16th term ​=a+15d=5+15(4)=65​ 

hope it helps you