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1. Given that the third term of a geometrical progression (GP) is, and the fifth term is, find the first term and the ratio. Assume the ratio is a positive number. b) For the GP in question 1, what is its sum to infinity? c) For the GP in question 1, how many terms (n) would need to be added such that the sum of these n terms is greater than 287?

1. Given that the third term of a geometrical progression (GP) is, and the fifth term is, find the first term and the ratio. Assume the ratio is a positive number. b) For the GP in question 1, what is its sum to infinity? c) For the GP in question 1, how many terms (n) would need to be added such that the sum of these n terms is greater than 287?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Given that the third term of a geometrical progression (GP) is, and the fifth term is 32, find the first term and the ratio. Assume the ratio is a positive number. b) For the GP in question 1, what is its sum to infinity? c) For the GP in question 1, how many terms (n) would need to be added such that the sum of these n terms is greater than ·? 287 27
Transcribed Image Text:1. Given that the third term of a geometrical progression (GP) is, and the fifth term is 32, find the first term and the ratio. Assume the ratio is a positive number. b) For the GP in question 1, what is its sum to infinity? c) For the GP in question 1, how many terms (n) would need to be added such that the sum of these n terms is greater than ·? 287 27
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