Find the seventh term of the geometric sequence, given the first term and common ratio. A1=1 and r=-2/3

Question

need help don't know what to do here. I'm stuck

Answer 1

This is the formula for geometric sequence.

 

A_n = A₁r^{(n - 1)}

 

Plugging in the given values from the question,

 

 

A_n = (-2/3)^{n - 1}

 

To find the 7th term, evaluate A_7.

 

A₇ = (-2/3)⁶

 

A₇ = 2⁶ / 3⁶