Question

Write an equation for the nth term of the geometric sequence below: (Equation NEEDS to be written as gn=7(5)^(n-1) or as gn=2/3(1/4)^(n-1) NOTICE NO SPACES & using ^ to represent an exponent)

Answer 1

You didn't give the geometric sequence in question.

But to find the nth term of a geometric sequence, use the formula

Sn = ar^(n - 1)

Where a is the first term of the sequence

r is the common ratio of the sequence.

Example: To find the nth term of the geometric sequence

1/2, 1/4, 1/8, 1/16, ...

Here, a = 1/2

r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.

Sn = (1/2)(1/2)^( n - 1)

Apply this method to the sequence you were given, it will be helpful.