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Class 11

Sequences and Series, Course Quiz

Ten questions across the whole Sequences and Series course. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. A sequence has an=(−1)nna_n = (-1)^n n. Find a5a_5.
  2. What is the common difference of the AP 12,8,4,…12, 8, 4, \ldots?
  3. Find 1+2+3+⋯+501 + 2 + 3 + \cdots + 50.
  4. Which term of the GP 3,6,12,…3, 6, 12, \ldots is 384384?
  5. A GP has 33rd term 1818 and 66th term 486486. Find the common ratio.
  6. Find the sum to infinity of 9−3+1−⋯9 - 3 + 1 - \cdots
  7. For positive a≠ba \ne b, how do the AM AA and GM GG compare?
  8. Find the sum of the first 88 terms of 1+2+4+⋯1 + 2 + 4 + \cdots
  9. An AP has first term 55 and common difference 33. Find its 1010th term.
  10. Find 12+22+32+42+521^2 + 2^2 + 3^2 + 4^2 + 5^2 using the formula for the sum of squares.
Unanswered questions are marked wrong.

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