Tamil Nadu Board Solutions for Chapter: Numbers And Sequences, Exercise 18: Exercise 2.5

Check whether the sequence $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5},\dots \dots \dots$ is in $\mathrm{AP}$ or not?

Find the first term and common difference of the Arithmetic Progressions whose $n^{th}$ term is $t_n=-3+2n$.

Find the first term and common difference of the Arithmetic Progressions whose $n^{th}$ term is $t_n=4-7n$.

Find the middle terms of an A.P. $9, 15, 21, 27, \dots \dots ,183$.

If nine times the ninth term is equal to the fifteen times fifteenth term, show that six times twenty fourth term is zero.

Find $x, y$ and $z$ given that the numbers $x, 10, y, 24, z$ are in A.P.

The Sum of three consecutive terms that are in A.P. is $27$ and their product is $288$. Find the three terms.

In a winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is $0°\mathrm{C}$ and the sum of the temperatures from Wednesday to Friday is $18°\mathrm{C}$. Find the temperature on each of the five days.