Question

If the sum of n terms of an AP is given by 2n^2 + 2 then find the nth term

plz help i need step by step explanation​

Answer 1

Step-by-step explanation:

S(n) = 2n² + 2

n/2 { 2a + (n-1)d } = 2n² + 2

n/2 { a + An } = 2n² + 2

a + An = 2/n (2n² + 2)

a + An = 4/n (n² + 1)

An = 4(n²+1)/n - a

= 4(n + 1/n) - a

Answer 2

Answer:

an=6n

Step-by-step explanation:

sn=2n^2+2

a1=2*1^2+2=2+2=4

a2=2*2^2+2=2(4)+2=8+2=10

a3=2(3)^2+2=2*9+2=18+2=20

an=a+(n-1)*d

   =6+(n-1)*6

   =6+6n-6

   =6n