Question types

Arithmetic Progressions question types

186 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

186
Questions
4
Question groups
5
Question types
Sample Questions

Arithmetic Progressions questions

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

The common difference of the $\text{AP}\frac{1}{\text{3}},\frac{1-3\text{b}}{\text{3}},\frac{1-6\text{b}}{\text{3}},....$ is:
  • A
    $\frac{1}{3}$
  • B
    $\frac{-1}{3}$
  • C
    $\text{b}$
  • $-\text{b}$

Answer: D.

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The $5^{\text {th }}$ term of an $AP$ is $20$ and the sum of its $7^{\text {th }}$ and $11^{\text {th }}$ terms is $64$ . The common difference of the $Ap$ is:
  • A
    $4$
  • B
    $5$
  • $3$
  • D
    $2$

Answer: C.

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The $17^{\text {th }}$ term of $A P$ is 5 more than wich its $8^{\text {th }}$ term. If the $11^{\text {th }}$ term of the $A P$ is 43 , find its $n ^{\text {th }}$ term.
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The $24^{\text {th }}$ term of an AP is twice its $10^{\text {th }}$ term. Show that its $72^{\text {nd }}$ term is 4 times its $15^{\text {th }}$ term.
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The angles of a quadrilateral are in AP whose common difference is 10º. Find the angles.Hint: Let these angles be xº, (x + 10)º, (x + 20)º and (x + 30)º.
Their sum is 360º.
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The sum of first $q$ term of an $A P$ is $\left(63 q-3 q^2\right)$. If its $p^{\text {th }}$ term is -60 , find the value of $p$. Also, find the $11^{\text {th }}$ term of its $A P$.
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