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Questions and Answers
What is the sum to infinity of the sequence 14-1664?
What is the sum to infinity of the sequence 14-1664?
- 28 (correct)
- 24
- 16
- 20
How far does the ball travel until it reaches the floor for the nth bounce according to the provided information?
How far does the ball travel until it reaches the floor for the nth bounce according to the provided information?
- $486(1 - (2/3)^n)$ (correct)
- $486(1 - (3/4)^n)$
- $486(1 - (1/2)^n)$
- $486(1 - (3/2)^n)$
If the sum of the first two terms of a geometric progression is 2 and the sum of the first four terms is 3118, what is the GP?
If the sum of the first two terms of a geometric progression is 2 and the sum of the first four terms is 3118, what is the GP?
- $2, 1, -1, -2, \ldots$
- $2, 1, 1/2, 1/4, \ldots$
- $2, -1, 1/2, -1/4, \ldots$ (correct)
- $2, -2, 2, -2, \ldots$
In a geometric progression with a common ratio of 2, what is the value of n for which the sum of 2n terms is 33 times the sum of n terms?
In a geometric progression with a common ratio of 2, what is the value of n for which the sum of 2n terms is 33 times the sum of n terms?
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Given that the second and sixth terms of a geometric progression are $24$ and $81$ respectively, what is the sum of the first 7 terms?
Given that the second and sixth terms of a geometric progression are $24$ and $81$ respectively, what is the sum of the first 7 terms?
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