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valentina_108 [34]
3 years ago
7

What is the explicit rule for this sequence? -5, 15, – 45, 135, ...

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

an = - 5(- 3)^n - 1

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