Question

For a sequence (to) if Sn=n²(n+1) then find the first three terms of the(tn)

Answer 1

Hi ,

Sn = n² (n + 1 )

S1 = 1²( 1 + 1 ) = 2

S2 = 2²( 2 + 1 ) = 12

S3 = 3²( 3 + 1 ) = 36

S4 = 4² ( 4 + 1 ) = 80

First term = t1 = s1 = 2 ,

t2 = S2 - S1 = 12 - 2 = 10 ,

t3 = S3 - S2 = 36 - 12 = 24

Therefore ,

Required three terms are 2 , 10 , 24

I hope this helps you.

:)