3 years ago

What is the explicit formula for the sequence below? 4, -12, 36, -108 ...

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

This is a geometry sequence (I.e each term is found by multiplying the same value to the previous term).

T1 = 4

T2 = -12 = T1 X (-3) = 4 X (-3)

T3 = 36 = T2 X (-3) = 4 X (-3)^2

T4 = 108 = T3 X (-3) = 4 X (-3)^3

The general (explicit) formula for the n-th term of this sequence is:

S(n) = 4 X (-3)^(n-1)

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