Question

1). which best describes the sequence below1.2, 0.36, 0. 108, .0324A). NeitherB). ArithmeticC). Geometric2). Write the explicit formula of an arithmetic sequence given the information below:a18 = 142 and a32 = 240

Answer 1

a = first term = 1.2

Therefore,

`\begin{gathered} nthterm=ar^(n-1) \\ 1.2* r=0.36 \\ r=(0.36)/(1.2) \\ r=0.3 \\ \\ r=(0.108)/(0.36)=0.3 \\ r=(0.0324)/(0.108)=0.3 \end{gathered}`

The common ratio is 0.3. Therefore, it is a geometric sequence.

Note r = common ratio