asked 214k views
1 vote
A recursive rule for a geometric sequence is a1=49;an=3an−1 . What is the explicit rule for this sequence?

asked
User Ruthy
by
7.6k points

2 Answers

1 vote

Answer:

The correct answer is, 4/9(3^n-1)

Explanation:

A recursive rule for a geometric sequence is a1=49;an=3an−1 . What is the explicit-example-1
answered
User Gopesh Gupta
by
7.8k points
2 votes
The explicit rule for the geometric sequence is in the form,

an = (a1)^(r -1)

where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,

an = 49^(3 - 1)
answered
User MatthieuGD
by
8.0k points
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