Question

if the sum of the n terms of a series is given by Sn=n^2+n then the general terms is.​

Answer 1

Answer:

The sum of the first n terms of a sequence is given by Sn = n(n+2). Can you find the first three terms of the sequence?

Solution :

The sum of first n terms of sequence,

Sⁿ = n(n+2)

Let n =1

S¹ = 1(1+2) = 1(3) =3 t¹=s¹ =3

t¹ = 3

Let n= 2,

s²= 2(2+2) = 2(4) = 8

S² = 8 .: tⁿ = sⁿ-sⁿ-¹

t² = 8–3 :. t² = 5

t² = 5

Let n=3,

S³ = 3(3+2) = 3(5) = 15 :. t³= s³-s²

t³ =15–8 = 7

t³ =7

Step-by-step explanation:

The first three terms of given sequence is 3,5,7.