Question

I is in need of saving.... math wants to kill meeee

Answer 1

See below

Explanation:

Given sequence is:

`7,\: (28)/(3),\:(112)/(9),\:(448)/(27),\:(1792)/(81)\:`

Here,

First term
`a=7`

Common ratio
`r=(28)/(7* 3)=(4)/(3)`

Formula for nth term of geometric sequence is given as:

`a(k) =ar^(k-1)`

Plugging the values of a and r in the above formula, we find:

`\huge{\purple{a(k) =(7)\bigg((4)/(3)\bigg)^(k-1)}}`

This is the required explicit formula for the given geometric sequence.