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OLEGan [10]
3 years ago
12

What is the recursive formula for this geometric sequence with this explicit formula?

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

D

the n th term (explicit ) formula for a geometric sequence is

a_{n} = a_{1}(r)^{n-1}

The given explicit formula therefore has

a_{1} = 5 and r = - \frac{1}{8}

The recursive formula, allows us to find the next term in the sequence from the previous term

Here the next term in the sequence is obtained by multiplying the previous term by - \frac{1}{8}

a_{n} = a_{n-1}(- \frac{1}{8}) with a_{1} = 5


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