Pine Bluff Middle School is having its annual Spring Fling dance, which willcost $400. The student treasurer reported that the d
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Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence =
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = , where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term =
First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
This will give you,
Then just continue to simplify and isolate the variable.
This will give you,
Then just continue to simplify and isolate the variable.