Sample QuestionsArithmetic Progression 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.
View full solution →Which term of the AP $72, 63 54, ....is 0?$
- A
$8^{\text {th }}$
- ✓
$9^{\text {th }}$
- C
$10^{\text {th }}$
- D
$11^{\text {th }}$
Answer: B.
View full solution →The $5^{th}$ term of an AP is $20$ and the sum of its $7^{th}$ and $11^{th}$ terms is $64$. The common difference of the Ap is:
Answer: C.
View full solution →The sum of first $20$ odd natural numbers is:
Answer: C.
View full solution →The next term of the $\text{AP}\sqrt{7},\sqrt{28},\sqrt{63},\ ...$ is:
- A
$\sqrt{70}$
- B
$\sqrt{84}$
- C
$\sqrt{98}$
- ✓
$\sqrt{112}$
Answer: D.
View full solution →Find the sum of the following APs:
$9, 7, 5, 3, ....$ to $14$ terms.
View full solution →If the sixth term of an $AP$ is zero then show that its $33^{rd}$ term is three times its $15^{th}$ term.
View full solution →The $17^{\text {th }}$ term of $A P$ is 5 more than twich its $8^{\text {th }}$ term. If the $11^{\text {th }}$ term of the $A P$ is $43$ , find its $\mathrm{n}^{\text {th }}$ term.
View full solution →Find the sum of the following $APs:$
$-37, -33, -29, ....$ to $12$ terms.
View full solution →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.
View full solution →The $7^{th}$ term of an $AP$ is $-4$ and its $13^{th}$ term is $-16$. Find the $AP.$
View full solution →Find the sum of first $n$ even natural numbers.
View full solution →How many term are there in the $AP 6, 10, 14, 18,....174?$
View full solution →Find the common difference of an $AP$ whose first term is $5$ and the sum of its first four terms is half the sum of the next four termes.
View full solution →How many term are there in the $AP 41, 38, 35,....8?$
View full solution →The angles of a quadrilateral are in $AP$ whose common difference is $10^{\circ}$. Find the angles.
Hint: Let these angles be $x^{\circ},(x+10)^{\circ},(x+20)^{\circ}$ and $(x+30)^{\circ}$.
Their sum is $360^{\circ}$.
View full solution →If $(2p - 1), 7, 3p$ are in $AP$, find the value of $p.$
View full solution →Find the value of x for which $(x + 2), 2x, (2x + 3)$ are three consecutive terms of an $AP.$
View full solution →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 $A P$.
View full solution →Find the value of x for which the numbers $(5 x +2),(4 x -1)$ and $( x +2)$ are in $AP.$
View full solution →