PRC-2 · Chapter 3 · Question 17 of 45
In a geometric progression, the third term is exactly 80 and the common ratio is 4. What is the value of the first term?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 5
Explanation
Using the nth term formula for a GP, a*r^(n-1). For the 3rd term, a*(4)^2 = 80. This simplifies to 16a = 80, meaning a = 5.
More Mathematical Progression MCQs
- Q19A person's savings plan is structured as a geometric progression. They save Rs. 200 in month 1, Rs. 100 in month 2, Rs. 50 in month 3, and…
- Q20The first and last terms of an arithmetic progression are 20 and 100, respectively. If the total sum of all terms is 300, what is the…
- Q21A retailer sells 1,024 units of an obsolete product in January. Sales volume is strictly halved each month thereafter. The product is…
- Q22A business deposits Rs. 5,000 into a fund in year 1. They decide to increase the annual deposit by exactly 20% each subsequent year. What…
- Q23In a long-term contract structure representing an arithmetic progression, the 8th payment is Rs. 18,000 and the 12th payment is Rs…