Question

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

Answer 1

Answer:

See below

Step-by-step explanation:

Given sequence is:

$7,\: \frac{28}{3},\:\frac{112}{9},\:\frac{448}{27},\:\frac{1792}{81}\:$

Here,

First term $a=7$

Common ratio $r=\frac{28}{7\times 3}=\frac{4}{3}$

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:

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

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