Correct Answer
✅ Option a — months
All Options:
- A months
- B months
- CBoth (a) & (b)
- D months
Detailed Solution & Explanation
The installments form an A.P. with:
First term
Common difference
Total sum .
Using the sum formula:
Divide by :
Factorizing the quadratic equation:
If , the installments after months would become negative, which is not practically possible. However, mathematically both and solve the equation. The standard practical answer is months, but the key notes months as a mathematical solution.
Hence, **Option A** is the correct answer.
About This Chapter: Sequence and Series
Paper
Paper 3: Quantitative Aptitude
Weightage
4-6 Marks
Key Topics
Arithmetic & Geometric Progressions
This chapter covers Arithmetic Progressions (AP) and Geometric Progressions (GP). Students learn how to find the nth term, sum of n terms, arithmetic/geometric means, and sum to infinity of a GP.
View Official ICAI SyllabusExam Strategy Tip
For complex 'sum of series' questions, a great hack is to substitute n = 1 and n = 2 into the question and the options to see which one matches, completely bypassing the formula.
More Questions from Sequence and Series
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Find the value of
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