Find the 6th term of the geometric sequence described below. m₁ = -3(-5)-1 Show your work here Hint: To add an exponent (z"), type "exponent" or press "A&quo…

Question

Find the 6th term of the geometric sequence described below.

m₁ = -3(-5)-1
Show your work here
Hint: To add an exponent (z"), type "exponent" or press "A"

Answer 1

m₆ = 9375

Explanation:

Given sequence is

`m,_i = -3(-5)^(i - 1)`

To find the 6th term, all you have to do is substitute i = 6 and compute

For i = 6 we get

`m_6 = -3(-5)^(6 - 1)\\= -3(-5)^5\\\\= -3(-3125) \\\\= 9375`

A negative number raised to an odd number is negative that is why (-5)⁵ is negative