Question

find the t2 of the following sequence for which S1=,2,s2=12 and s3=36​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{S_1=2,\;S_2=12,\;S_3=36}$

$\underline{\textsf{To find:}}$

$\mathsf{t_2}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{t_2}$

$\textsf{It can be written as}$

$\mathsf{=(t_1+t_2)-t_1}$

$=\textsf{Sum of first 2 terms}-\textsf{Sum of first 1 term}$

$\mathsf{=S_2-S_1}$

$\mathsf{=12-2}$

$\mathsf{=10}$

$\implies\boxed{\mathsf{t_2=10}}$

Answer 2

the correct answer is 10