NCERT/Class 10/Mathematics/Arithmetic Progressions

Arithmetic Progressions

Class 10 · Mathematics

70 questions26 easy29 medium15 hard

Sample Questions

Q1.The nth term of an AP with first term a and common difference d is:

  • Aa + nd
  • Ba + (n−1)d
  • Ca − (n−1)d
  • Dna + d

Q2.The sum of first n terms of an AP is:

  • ASₙ = n/2 × (2a + nd)
  • BSₙ = n/2 × (2a + (n−1)d)
  • CSₙ = n × (a + (n−1)d)
  • DSₙ = n/2 × (a + (n+1)d)

Q3.Is the sequence 3, 6, 12, 24, ... an AP?

  • AYes, with common difference 3
  • BYes, with common difference 6
  • CNo, it is a GP
  • DNo, it has no pattern

Q4.The sum of three terms in AP is 24 and their product is 440. Find the terms.

  • A5, 8, 11
  • B4, 8, 12
  • C2, 8, 14
  • D3, 8, 13

Q5.The sum of first 40 positive integers divisible by 6 is:

  • A4920
  • B4940
  • C4960
  • D4980

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Arithmetic meanArithmetic progression definitionCommon differenceFinding terms of APProperties of APSum of n termsWord problemsnth term formula

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