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

User Pensu
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1 Answer

2 votes

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.

User Ricardo Souza
by
8.2k points
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