PRC-2 · Chapter 3 · Question 15 of 45
In an arithmetic progression, the first term is 10 and the common difference is 2. Which equation accurately models finding the number of terms 'n' needed to produce a sum of 252?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 252 = n(20 + (n-1)2) / 2
Explanation
Using the arithmetic sum formula Sn = (n/2)[2a + (n-1)d]. Substituting the specific values given (Sn=252, a=10, d=2) results in the equation 252 = (n/2)[20 + (n-1)2].
More Mathematical Progression MCQs
- Q17In a geometric progression, the third term is exactly 80 and the common ratio is 4. What is the value of the first term?
- Q18In an arithmetic progression, the first term is 12 and the common difference is 4. How many specific terms are needed to produce a total…
- 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…
