5 Questions
What is the sum to infinity of the sequence 14-1664?
28
How far does the ball travel until it reaches the floor for the nth bounce according to the provided information?
$486(1 - (2/3)^n)$
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?
$2, -1, 1/2, -1/4, \ldots$
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?
$n = 6$
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?
$195$
Practice exercises on finding the sum to infinity of a sequence, calculating the total distance traveled by a ball thrown vertically upwards after multiple bounces, and determining the sum of terms in a geometric progression.
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