Question

In a geometric progression 8th term is 8 times the 5th term and the sum of 6th and 7th term is 288. Determine the 1. Common ratio 2. 1st term 3. Sum of 5th and 10th term inclusive

Name: in a geometric progression 8th term is 8 times the 5th term and the sum of 6th and 7th term is 288 determine the 1 common ratio 2 1st term 3 sum of 5th and 10th term inclusive
Uploaded: 2023-07-26T21:14:26-08:00
Duration: 4 min
Channel: Ma. Theresa Alin
Description: in a geometric progression 8th term is 8 times the 5th term and the sum of 6th and 7th term is 288 determine the 1 common ratio 2 1st term 3 sum of 5th and 10th term inclusive

          In a geometric progression 8th term is 8 times the 5th term and the sum of 6th and 7th term is 288. Determine the
1. Common ratio 
2. 1st term
3. Sum of 5th and 10th term inclusive

Added by Hamza A.

Basic Engineering Mathematics

John Bird 4th Edition

Chapter 29

Instant Answer

Solved by Expert Ma. Theresa Alin

07/26/2023

Step 1

- The 8th term is 8 times the 5th term. - The sum of the 6th and 7th term is 288. Step 2: Use the formula for the nth term of a geometric progression (GP), which is \(a_n = a_1 \cdot r^{(n-1)}\), where \(a_n\) is the nth term, \(a_1\) is the first term, \(r\) is Show more…

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In a geometric progression 8th term is 8 times the 5th term and the sum of 6th and 7th term is 288. Determine the 1. Common ratio 2. 1st term 3. Sum of 5th and 10th term inclusive