Question

What is the value of the fourth term in a geometric sequence for which a1=10 and r=0.5

Answer 1

1.25

Explanation:

apex answer

Answer 2

`\bf n^(th)\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^(n-1)\qquad \begin{cases} n=n^(th)\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=10\\ r=0.5\\ n=4 \end{cases}\implies a_4=10\cdot 0.5^(4-1)`