what is the 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4

Answer 1

A geometric sequence is a set of numbers(usually) where the next term is found by multiplying the previous term and a constant. This is governed by the geometric sequence rule:

x_n = ar^(n-1)

where n is the number in the sequence, a is the first term, and r is the constant. When we plug the numbers in, we have:

x₆ = 3(-4)^(6-1) Subtract in the exponent.

x₆ = 3(-4)⁽⁵⁾ Take the exponent.

x₆ = 3(-1024) Multiply

x₆ = -3,072