Embibe Experts Solutions for Chapter: Arithmetic Sequences, Exercise 1: Kerala Board-2020

If the terms of the arithmetic sequence $\frac{2}{9},\frac{3}{9},\frac{4}{9},\frac{5}{9}.......$ are represented as $x_1,x_2,x_3 .......$ then $x_1+x_2+x_3=$ _____

If the terms of the arithmetic sequence $\frac{2}{9},\frac{3}{9},\frac{4}{9},\frac{5}{9}.......$ are represented as $x_1,x_2,x_3 .......$ then $x_4+x_5+x_6=$ _____

If the terms of the arithmetic sequence $\frac{2}{9},\frac{3}{9},\frac{4}{9},\frac{5}{9}.......$ are represented as $x_1,x_2,x_3 .......$ then find the sum of first $9$ terms.

If the terms of the arithmetic sequence $\frac{2}{9},\frac{3}{9},\frac{4}{9},\frac{5}{9}.......$ are represented as $x_1,x_2,x_3 .......$ then what is the sum of first $300$ terms?

What is the ${21}^{\text{st}}$ term of the arithmetic sequence $21, 20, 19, \dots \dots \dots$?

$5^{\text{th}}$ term of an arithmetic sequence is $17$ and the ${17}^{\text{th}}$ term is $5$. What is the ${44}^{\text{th}}$ term?

First term of an arithmetic sequence is $n$ and the ${\mathrm{n}}^{\text{th}}$ term is $1$. What is the $(\mathrm{n}+1{)}^{\text{th}}$ term?

The first term of an arithmetic sequence is $\mathrm{n}$ and the ${\mathrm{n}}^{\text{th}}$ term is $1$ . Sum of how many terms, starting from the first term, of this sequence is zero? If the answer is $2n+k$, find $k$.