Tamil Nadu Board Solutions for Chapter: Numbers And Sequences, Exercise 35: Exercise 2.1

The first term of an arithmetic progression is unity and the common difference is $4$. Which of the following will be a term of this A.P. 

If $6$ times of $6^{\text{th }}$ term of an A.P is equal to $7$ times the $7^{\mathrm{th}}$ term, then the ${13}^{\mathrm{th}}$ term of the A.P. is

An A.P consists of $31$ terms. If its ${16}^{\mathrm{th}}$ term is $m$, then the sum of all the terms of this A.P. is

In an A.P., the first term is $1$ and the common difference is $4$. How many terms of the A.P must be taken for their sum to be equal to $120$ ?

If $A=2^{65}\text{ and }B=2^{64}+2^{63}+2^{62}+....+2^0$ which of the following is true?

The next term of the sequence $\frac{3}{16},\frac{1}{8},\frac{1}{12},\frac{1}{18},\dots$ is

If the sequence $t_1, t_2, t_3,\dots \dots \dots ..$ are in A.P. then the sequence $t_{6, }{t}_{12}, t_{18},\dots \dots$ is

The value of $\left(1^3+2^3+3^3+\dots +{15}^3\right)-(1+2+3+\dots +15)$ is