R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 8: MULTIPLE CHOICE QUESTIONS (MCQs)

Two A.P.'s have the same common difference. The first term of one of these is $8$ and that of the other is $3$. The difference between their ${30}^{\mathrm{th}}$ terms is

If $18, a, b, -3$ are in A.P., then $a+b=$

The sum of $n$ terms of two arithmetic progressions is in the ratio $5n+9:9n+6$. Then, the ratio of their ${18}^{\mathrm{th}}$ terms is

If $\frac{5+9+13+\dots \text{ to }n\text{ terms }}{7+9+11+\dots \text{ to }(n+1)\text{ terms }}=\frac{17}{16}$, then $n=$

The sum of $n$ terms of an A.P. is $3n^2+5n$, then $164$ is its

If the $n^{\text{th }}$ term of an A.P. is $2n+1$, then the sum of first $n$ terms of the A.P. is

If ${18}^{\text{th }}$ and ${11}^{\text{th }}$ terms of an A.P. are in the ratio $3:2$, then its ${21}^{\text{st }}$ and $5^{\text{th }}$ terms are in the ratio

The sum of the first $20$ odd natural numbers is