Sequence and SeriesPYQ Nov. 19Question 1758 of 142
All Questions

If the sum of five terms of AP is 75\displaystyle 75. Find the third term of the series.

Options

A15\displaystyle 15
B30\displaystyle 30
C35\displaystyle 35
D20\displaystyle 20
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Correct Answer

✅ Option d — 20\displaystyle 20

All Options:

  • A15\displaystyle 15
  • B30\displaystyle 30
  • C35\displaystyle 35
  • D20\displaystyle 20

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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