Question 11 Mark
If the ratio of the sums of first n terms of two A.P.s is $\frac{5 n+13}{7 n+27}$ then the ratio of their 4th terms is __________.
View full question & answer→Question 21 Mark
If $S_n=n(4 n+1)$ is the sum of in terms of an A.P., then its common difference is __________.
View full question & answer→Question 31 Mark
If the $n^{\text {th }}$ terms of two A.P.s: 9, 7, 5.... and 24, 21, 18, ... are the same, then the value of n is __________.
View full question & answer→Question 41 Mark
Two arithmetic progressions have the same common difference. Their first terms are A and B respectively. The difference between their $n^{\text {th }}$ terms is __________.
View full question & answer→Question 51 Mark
If 7 times the$7^{\text {th }}$ term of an A.P. is equal to 11 times its $11^{ th }$ term, then the value of its $18^{\text {th }}$ term is __________.
View full question & answer→Question 61 Mark
In an A.P. $a_1, a_2, a_3, \ldots, a_n, \ldots$, if $a_1=1, a_n=20$ and $S_n=399$, then the value of n is __________.
View full question & answer→Question 71 Mark
If $a_n$ denotes the $n^{\text {th }}$ term of the A.P. 3, 8, 13, 18, ..., then the value of $a_{30}-a_{20}$ is __________.
View full question & answer→Question 81 Mark
If 9th term of an A.P. is zero, then its $29^{\text {th }}$ and $19^{\text {th }}$ terms are in the ratio __________.
View full question & answer→Question 91 Mark
The value of the middle term of the A.P -11,-7, -3, ...., 49, 53 is __________.
Question 101 Mark
If $5, a_2, a_3, \ldots, a_{20}$ 145 is an A.P., then $a_2+a_{20}$= __________.
View full question & answer→Question 111 Mark
If $a_1, a_2, a_3, \ldots \ldots, a_n, \ldots \ldots$ is an A.P. such that $a_{18}-a_{14}=32$, then its common difference is __________.
View full question & answer→Question 121 Mark
If the common difference of an A.P. is 5, then $a_{18}-a_{13}=$__________.
View full question & answer→Question 131 Mark
The sum of first in odd natural numbers is __________.
Question 141 Mark
The sum of first 50 odd natural numbers is __________.
Question 151 Mark
If n - 2 ,4n - 1 and 5n + 2 are in A.P., then n = __________.
Question 161 Mark
The famous Mathematician associated with finding the sum of the first 100 natural numbers was __________.
Question 171 Mark
The $21^{ st }$ term of the A.P. whose terms are - 3 and 4 is __________.
View full question & answer→Question 181 Mark
The 11th term of the A.P $-5,-\frac{5}{2}, 0, \frac{5}{2}, \ldots \ldots$. Is __________.
View full question & answer→Question 191 Mark
If the sequence $\frac{a-3 b}{b}, \frac{3 a-3 b}{b}, \frac{5 a-3 b}{b}, \frac{7 a-3 b}{b}, \ldots$ is an A.P. with common difference 3, then a / b = __________.
View full question & answer→Question 201 Mark
The sequence $\frac{2 a-6 b}{3 b}, \frac{2 a-3 b}{3 b}, \frac{2 a}{3 b}, \frac{2 a+3 b}{3 b}, \frac{2 a+6 b}{3 b} \ldots$ is an A.P. with common difference __________.
View full question & answer→