10 questions · timed · auto-graded
| $A$ | $B$ |
| $Q.1.$ The sum of three consecutive terms of an $AP$ is $48.$ The product of first and last term is $252.$ Then the common difference $d = ..........$ | $(a) ± 2$ |
| $Q.2.$ First two terms of an $AP$ are $-3$ and $4 .$ Find its $21^{\text {st }}$ term. | $(b) ± 4$ |
| $(c) 137$ |
| $A$ | $B$ |
| $Q.1.$ If $S _n=2 n^2+3 n$ then find $d$. | $(a) 9$ |
| $Q.2.$ If First term of an $AP$ is $2$ and its last term is $200$ find the sum of its first $200$ terms | $(b) 4$ |
| $(c) 2200$ |
| $A$ | $B$ |
| $Q.1.$ If $a=2, d=4$ then $S _{20}=$ ? | $(a) 47$ |
| $Q.2.$ If $n^{\text {th }}$ term of an $AP$ is $5 n-3$ then its $10^{\text {th }}$ term is $.......$ | $(b) 53$ |
| $(c) 800$ |
| $A$ | $B$ |
| $Q.1.$ For an $AP$ $a_{25}-a_{20}=15$ then $d=\ldots \ldots \ldots .$. | $(a) 5$ |
| $Q.2.$ $10^{\text {th }}$ term of an $AP \sqrt{2}, \sqrt{8}, \sqrt{18} \ldots$ is $.......$ | $(b) 3$ |
| $(c) \sqrt{200}$ |
| $A$ | $B$ |
| $Q.1.$ The formula to find $n^{\text {th }}$ term of an $AP$ is $........$ | $(a) 3.5, 5, 6.5, 8, ....$ |
| $Q.2.$ Out of the following which is an $AP ?$ | $(b) a + (n – 1)d$ |
| $(c) 1, 4, 9, 16, ....$ |
| $A$ | $B$ |
| $Q.1.$ $n^{\text {th }}$ term of an $AP$ is $a_n=8 n-6$ then its $3^{\text {rd }}$ terms is $.........$ | $(a) 18$ |
| $Q.2.$ $30^{\text {th }}$ term of an $AP$ $28,25,22 \ldots$ is | $(b) 24$ |
| $(c) –59$ |
| $A$ | $B$ |
| $Q.1. 25^\text{th}$ term of an $AP\ 3, 3.5, 4 ...$ is $..........$ | $(a) n^2$ |
| $Q.2.$ The sum of first $n$ terms of an $AP$ $1, 3, 5 ...$ is $.........$ | $(b) 15$ |
| $(c) \frac{n(n+1)}{2}$ |
| $A$ | $B$ |
| $Q.1.$ For an $AP, S _n-2 S _{n-1}+ S _{n-2}=\ldots \ldots \ldots$. | $(a) d$ |
| $Q.2.$ 20th term of an $AP, 50, 47, 44 ...$ is $..........$ | $(b) 2d$ |
| $(c) –7$ |
| $A$ | $B$ |
| $Q.1. –2, –2, –2.....$ is an arithmetic progression | $(a) \frac{n}{2}(a-l)$ |
| $Q.2.$ If First term of an $AP$ is a and its last term is $l$ then $Sn = ......$ | $(b) \frac{n}{2}(a+l)$ |
| $(c) $ Yes |
| $A$ | $B$ |
| $Q.1.$ The formula to find common difference is | $(a) a + (n - 3)d$ |
| $Q.2. (n – 2)^\text{th}$ term of an $AP$ is | $(b) a_\text{n + 1}-a_n$ |
| $(c) a + (n-2)d$ |