Question

2. List the first four terms of the geometric sequence with a, = 5 and r = -2.

Answer 1

the aswers is 5, -10, 20,-40

Answer 2

`5,~ -10,~ 20,~ -40`

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Explanation:

Geometric sequence

`Un = ar^(n - 1)`

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We know that

a = 5 and r = -2

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So

`U_1 = 5(-2)^(1 - 1) = 5(-2)^0 = 5`

`U_2 = 5(-2)^(2 - 1) = 5(-2)^1 = -10`

`U_3 = 5(-2)^(3 - 1) = 5(-2)^2 = 20`

`U_4 = 5(-2)^(4 - 1) = 5(-2)^3 = -40`

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Happy to help :)