Olympiad – Class X – Mathematics - Arithmetic Progressions

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Question - 1

Find the general term of the series 4, 7, 10,13, .....

  • A 3n - 7
  • B 3n + 7
  • C 3n + 1
  • D 3n - 1

Question - 2

Which is the first negative term of the arithmetic progression 35,30,25, .....?

  • A 7thterm
  • B 5thterm
  • C 9th term
  • D 11thterm

Question - 3

Find the next term of the arithmetic progression \(\sqrt{12},\sqrt{27},\sqrt{48},.......\)

  • A \(\sqrt{75}\)
  • B \(\sqrt{60}\)
  • C \(\sqrt{80}\)
  • D \(\sqrt{90}\)

Question - 4

What is the nth term of an arithmetic progression whose sum to 'n' terms is 2n2 - 3n?

  • A 4n - 3
  • B 4n - 5
  • C 4n + 5
  • D 5 - 4n

Question - 5

Which term of the arithmetic progression 30, 27, 24, ....is 0?

  • A 8thterm
  • B 10thterm
  • C 13thterm
  • D 11thterm

Question - 6

The numbers 28, 22, 'x', 'y', 4 are in arithmetic progression. What are the respective values of 'x' and 'y'?

  • A 10, 16
  • B 20, 18
  • C 18, 16
  • D 16, 10

Question - 7

What is the sum to 'n' terms of the series \(\sqrt{5},\sqrt{20},\sqrt{45},\sqrt{80},............?\)

  • A \({n(n+1)\sqrt{5}\over2}\)
  • B \({n(n+1)\over\sqrt{2}}\)
  • C \({n\over2}({n+1\over\sqrt{5}})\)
  • D \(n(n+1)\sqrt{5}\)

Question - 8

What is the sum of the first 'n' even numbers?

  • A n2 + 1
  • B n(n - 1)
  • C n2-n
  • D n(n +1)

Question - 9

What is the sum of first 'n' odd numbers starting from 11?

  • A n2+ 10n
  • B n2- 10n
  • C 10n - n2
  • D n2

Question - 10

How many two digit numbers are divisible by 4?

  • A 20
  • B 16
  • C 25
  • D 22
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