Question

Find the fifth term in the geometricsequence, given the first term andthe common ratio.a1 = 5 and r = -3as = [ ?

Answer 1

Given:

`\begin{gathered} a_1=5 \\ r=-3 \end{gathered}`

To find:

The fifth term.

Step-by-step explanation:

Using the nth term formula,

`a_n=ar^(n-1)`

Substituting a = 5, r = -3, and n = 5, we get

`\begin{gathered} a_5=5(-3)^(5-1) \\ =5(-3)^4 \\ =5(81) \\ =405 \end{gathered}`

Therefore, the fifth term is 405.

Final answer:

The fifth term is 405.