Question

find tue nth term if the sum of n term of an ap is 2n(2) + 5n​

Answer 1

$\bold\red{Answer:}$

Sum of n terms = 2n²+5n

Now to find nth term subtract Sn+1 and Sn

Sn+1=2(n+1)²+5(n+1)

=2(n²+1+2n)+5n+5

=2n²+2+9n+5

=2n²+9n+7

Now

Sn=2n²+5n

nth term = Sn+1 - Sn

=2n²+9n+7-2n²-5n

=4n+7

$\red{Answer:4n+7}$

hope it helps.

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