Maharashtra Board Solutions for Chapter: Arithmetic Progression, Exercise 3: Practice Set

Find the sum of first $123$ even natural numbers.

Find the sum of all even numbers from $1$ to $350$.

In an A.P. ${19}^{\mathrm{th}}$ term is $52$ and ${38}^{\mathrm{th}}$ term is $128$, find sum of first $56$ terms.

Complete the following activity to find the sum of natural numbers from 1 to 140 which are divisible by 4.

Sum of first $55$ terms in an A.P. is $3300$, find its ${28}^{\mathrm{th}}$ term.

In an A.P. sum of three consecutive terms is $27$ and their product is $504$, find the terms.

Find four consecutive terms in an A.P. whose sum is $12$ and sum of $3^{\mathrm{rd}}$ and $4^{\mathrm{th}}$ term is $14$.

If the $9^{\mathrm{th}}$ term of an A.P. is zero then show that the ${29}^{\mathrm{th}}$ term is twice the ${19}^{\mathrm{th}}$ term.