Concept Checkers – Arithmetic Progressions – Class X

Find the general term of the series \(4,\ 7,\ 10,\ 13\cdots\)

Which is the first negative term of the arithmetic progressions \(35 ,\ 30,\ 25\cdots\) ?

Which term of the arithmetic progression \(30,\ 27,\ 24\cdots\) is \(0\) ?

The first, second and last term of an arithmetic progression are \(5,\ 9\text{ and } 101\) respectively . Find the number of terms in the arithmetic progression.

A secondary school had an errolement of \(1620\) students in the year \(2015\) which increase by \(150\) students per year. What was the errolement in the year \(2019\) ?

How many numbers between \(100 \text{ and } 1000\) are divisible by \(7\) ?

Find the next term of the arithmetic progression \(\sqrt{12},\ \sqrt{27},\ \sqrt{48}\cdots\)

What is the sum of the first ‘\(n\)’ even numbers ?

What is the sum of the first ‘\(n\)’ odd numbers starting from \(11\) ?

How many terms of the arithmetic progression \(1,\ 9,\ 17,\cdots\) must be taken to give a sum of \(1540\) ?

Find the sum of the first \(18\) terms of the arithmetic progression \(12b,\ 8b,\ 4b,\cdots\)

Find the sum from the sixth terms to the twelfth term of the arithmetic progression \(6,\ 10,\ 14,\cdots\)

Find the sum of the arithmetic progression \(x-2y,\ 2x-y,\ 3x\cdots,11x+8y\).

Find the value of ‘ \(n\)’ if the sum of the first ‘ \(n\)’ terms of the AP, \(15,\ 23,\ 31,\cdots\) is \(708\).

A cineplex has \(13\) rows of seats with \(10\) seats in first row, \(12\) in the second, \(14\) in the third and so on. What is the total number of seats in the cineplex ?

The \(6^{\text{th}}\) term of an arithmetic progression in \(30\) and the sum of the first six term is \(210\). Find the sum of the next \(6\) consecutive terms.

In arithmetic progression, the fourth term is \(8\) and the sum of \(12\) terms is \(156\). Find the value of ‘\(p\)’ if the \(p^{\text{th}}\) terms is \(1000\).

Given an arithmetic progression \(-10,\ -5,\ 0,\cdots\) Identify three consecutive terms of the progression whose sum is \(90\).

The sum of the first \(10\) terms of an arithmetic progression is four times the sum of its five terms. Find the ratio of the first term to the common difference.