A geometric sequence is defined recursively by an=6an−1. The first term of the sequence is 0.75. Which of the following is the explicit formula for the nth term of the sequence?
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Answer:
0.75×(6)n-1
Step-by-step explanation:
an or the first term = 0.75 (Given)
Geometric sequence = 6an−1 (Given)
an=6an−1
= an/an-1 = 6
= r = 6
To solve geometric sequences, we will use the formula -
= an = a1×(r)n-1
= an = 0.75×(6)n-1
Thus, the explicit formula for the nth term of the sequence is 0.75×(6)n-1
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