Question

Find the answer for the 15th term given the sequence: Sn = 4n2 + 120The value of the 15th term = 1020Is it a true Or False statement

Answer 1

Given the formula for the sequence:

`S_n=4n^2+120`

To find the 15th term, put n = 15 into the formula, that is:

`\begin{gathered} S_(15)=4(15)^2+120 \\ S_n=4(225)+120 \\ =900+120 \\ =1020 \end{gathered}`

Therefore, the statement given is true because the 15th term is indeed 1020