Question

What is the value of the next term in the geometric sequence graphed below

Answer 1

In the geometric sequence the terms are represented as,

`a,ar^1,ar^2,ar^3`

Here, the sequence given is 2, 4, 6, 8

so, first term is a = 2

Common ratio is, the subtraction of second term to first term that is

`\begin{gathered} a2-a1=4-2 \\ \text{ = 2} \end{gathered}`

Now, the next term which we need to find is fifth that is

`ar^4=2(2)^4`
`ar^4=32`

The correct option is (b)