Sequence and SeriesPYQ Nov. 19Question 1825 of 142
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Sum up to infinity of series. 1+12+13+14+18+19+116+127+…\displaystyle 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \dots

Options

A1924\displaystyle \frac{19}{24}
B24/19\displaystyle 24/19
C5/24\displaystyle 5/24
DNone of these
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Correct Answer

✅ Option a — 1924\displaystyle \frac{19}{24}

All Options:

  • A1924\displaystyle \frac{19}{24}
  • B24/19\displaystyle 24/19
  • C5/24\displaystyle 5/24
  • DNone of these

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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