Embibe Experts Solutions for Chapter: Arithmetic Progressions, Exercise 1: Exercise

The common difference of the Arithmetic progression $100, 93, 86, .........$is

The first term of an $AP$ is $p$ and the common difference is $q$, then its ${10}^{th}$ term is

An arithmetic series which has $20 \mathrm{terms}$ has the first term and the last term $5$ and $158$ respectively, then the sum of its $9^{\mathrm{th}}$ and ${12}^{\mathrm{th}}$ term is?

Find the ${15}^{th}$ term of the arithmetic progression $6, 10, 14 ..................$ using the formula.

In an Arithmetic progression the sum of first four terms is $20$ and the sum of first three terms is $12$ then find the fourth term of the arithmetic progression.

Verify whether $130$ is a term of the arithmetic progression $3, 7, 11$........ 

At constant pressure certain quantity of water at ${24}^{o}C$ is heated. It was observe that the rise of temperature was found to be $4^{o}C$ per minute. Calculate the time required to rise the temperature of water to ${100}^{o}C$ at sea level by using formula.

What is the sum of the first $12$ terms of an arithmetic progression, if the first term is $-19$ and last term is $36$?