In a geometric progression with all positive terms, the second term is 6 and the fifth term is 48. What is the common ratio ?
Answer and explanation
Correct answer: B.
,
.
.
Since all terms are positive, taking the real cube root gives .
.
.
Since all terms are positive, taking the real cube root gives .
- Step 1: Express the terms using the general formula for a geometric progression :
- Step 2: Divide by to eliminate :
Answer
.
Practise more Sequences, Progressions, and Recurrence Relations.
Free questions with an explanation for every one, and full timed EJU Japan mock tests.
More Sequences, Progressions, and Recurrence Relations questions
- In an arithmetic progression, the 4th term is 14 and the 9th term is 29. What is the first term ?
- Find the sum of the first 20 terms of the arithmetic progression
- Determine the infinite sum of the convergent geometric series:
- A sequence satisfies the recurrence relation with . What is the general formula for ?
- Evaluate the summation: .