Question

Find the 8th term of the geometric sequence 7,28,112,...

Answer 1

Given that the sequence is gemoetric, you must find R.

R is equal to any given term divided by the term before it.

112/28 = 4

28/7 = 4

This sequence multiplies by 4 every time

I assume yall start at s1 not s0, so simply make an equation that multiplies by 4 every time that s increases

`s(n) = 7*4^(n-1)`

plug in 8

`s(8) = 7 * 4^(7) \\= 114,688`