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3 years ago

What is the recursive formula for this geometric sequence? 4, -12, 36, -108, ...

Mathematics

2 answers:

goblinko [34]3 years ago

8 0

Answer:

answer is attached

Step-by-step explanation:

Setler79 [48]3 years ago

6 0

Answer:

aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

We can get the value for r by dividing aₙ by aₙ₋₁.

a₄/a₃ = -108/36

a₄/a₃ = -3

r = -3

aₙ = 4(-3)ⁿ⁻¹

aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹

The (-1)ⁿ⁻¹ term makes even-numbered terms negative.

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