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Class 11

Sequences and Series: Mixed Practice, Quiz

Five mixed questions on sequences and series. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. An AP has a3=10a_3 = 10 and a8=25a_8 = 25. Find a20a_{20}.
  2. Write 0.6‾0.\overline{6} as a fraction using an infinite GP.
  3. Find 13+23+⋯+631^3 + 2^3 + \cdots + 6^3.
  4. Two positive numbers have arithmetic mean 1313 and geometric mean 1212. Find them.
  5. Find the sum of all two-digit numbers divisible by 44.
Unanswered questions are marked wrong.

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