The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term.
Answer (1)
SOLUTION:Based on the problem, the geometric sequence formed isa₁, 32, 4Solving for a₁ (first term by using the concept of the common ratio of geometric sequence[tex]\begin{aligned} \frac{32}{a_1} & = \frac{4}{32} \\ \frac{32}{a_1} & = \frac{1}{8} \\ a_1 & = (32)(8) \\ a_1 & = \boxed{256} \end{aligned}[/tex]Hence, the first term is 256.
