Sequence and SeriesMTP Dec 23Question 1816 of 142
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A person puts Rs. 975\displaystyle 975 in monthly instalment, each instalment is less than former by Rs. 5\displaystyle 5. The amount of first instalment is Rs. 100\displaystyle 100. In what time will the entire amount be paid?

Options

A26\displaystyle 26 months
B15\displaystyle 15 months
CBoth (a),(b)
D18\displaystyle 18 months
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Correct Answer

✅ Option b — 15\displaystyle 15 months

All Options:

  • A26\displaystyle 26 months
  • B15\displaystyle 15 months
  • CBoth (a),(b)
  • D18\displaystyle 18 months

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 Syllabus

Exam 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

Find the sum of n terms of the A.P., whose nth term is 5n+1\displaystyle 5n + 1

The sum of first three terms of a G.P. is 212\displaystyle \frac{21}{2} and their product is 27. Which of the following is not a term of the G.P., if the numbers are positive?

Insert 4 numbers between 2 and 22 such that the resulting sequence is an Arithmetic Progression (A.P.).

Find the sum of series 1+12+14+…\displaystyle 1 + \frac{1}{2} + \frac{1}{4} + \dots upto 6 terms.

If the sum of 'n\displaystyle n' terms of an AP (Arithmetic Progression) is 2n2\displaystyle 2n^2, the fifth term is ____.

The sum of first n\displaystyle n terms an AP is 3n2+5n\displaystyle 3n^2+5n. The series is:

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