Sequence and SeriesPYQ Jul 21Question 1762 of 142
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If the sum of 'n\displaystyle n' terms of an AP (Arithmetic Progression) is 2n2\displaystyle 2n^2, the fifth term is ____.

Options

A20\displaystyle 20
B50\displaystyle 50
C18\displaystyle 18
D25\displaystyle 25
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Correct Answer

✅ Option a — 20\displaystyle 20

All Options:

  • A20\displaystyle 20
  • B50\displaystyle 50
  • C18\displaystyle 18
  • D25\displaystyle 25

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.

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

If 2+6+10+14+.........+x=882\displaystyle 2+6+10+14+.........+x=882 then the value of x\displaystyle x is

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