Question types

STD 11 - 8. sequence and series question types

749 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

749
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1
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5
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Sample Questions

STD 11 - 8. sequence and series questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Consider a sequence whose sum of first $n$ -terms is given by $S_n = 4n^2 + 6n, n \in N$, then $T_{15}$ of this sequence is -
  • A
    $118$
  • B
    $120$
  • $122$
  • D
    $86$

Answer: C.

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If $\alpha ,\;\beta ,\;\gamma $ are the geometric means between $ca,\;ab;\;ab,\;bc;\;bc,\;ca$ respectively where $a,\;b,\;c$ are in A.P., then ${\alpha ^2},\;{\beta ^2},\;{\gamma ^2}$ are in
  • $A.P.$
  • B
    $H.P.$
  • C
    $G.P.$
  • D
    None of the above

Answer: A.

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Given that $n$ A.M.'s are inserted between two sets of numbers $a,\;2b$and $2a,\;b$, where $a,\;b \in R$. Suppose further that ${m^{th}}$ mean between these sets of numbers is same, then the ratio $a:b$ equals
  • A
    $n - m + 1:m$
  • B
    $n - m + 1:n$
  • C
    $n:n - m + 1$
  • $m:n - m + 1$

Answer: D.

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$150$ workers were engaged to finish a piece of work in a certain number of days. $4$ workers dropped the second day, $4$ more workers dropped the third day and so on. It takes eight more days to finish the work now. The number of days in which the work was completed is
  • A
    $15$
  • B
    $20$
  • $25$
  • D
    $30$

Answer: C.

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