Class 10 Maths – Arithmetic Progressions Quiz

The common difference of the A.P. \( \sqrt{2},\ 2\sqrt{2},\ 3\sqrt{2},\ 4\sqrt{2},\ \ldots \) is:

Which of the following sequences is not an A.P.?

In an A.P., if the first term \(a = -16\) and the common difference \(d = -2\), then the sum of its first 10 terms is:

The ratio of the 10th term to the 30th term of an A.P. is \(1 : 3\) and the sum of its first six terms is 42. The first term and the common difference of the A.P. are:

If \(k + 2,\ 4k - 6\) and \(3k - 2\) are the three consecutive terms of an A.P., then the value of \(k\) is:

Which term of the A.P. \(65,\ 61,\ 57,\ 53,\ \ldots\) is the first negative term?

How many terms are there in an A.P. whose first term is \(-14\), fifth term is \(2\) and last term is \(62\)?

The next term of the A.P. \( \sqrt{7},\ \sqrt{28},\ \sqrt{63} \) is:

How many terms of the A.P. \(45,\ 39,\ 33,\ \ldots\) must be taken so that their sum is \(180\)?

Rohan repays a loan by paying monthly installments that form an A.P. He pays ₹1000 in the first month and increases each installment by ₹100. The amount he pays in the 30th installment is:

Which term of the A.P. \(3,\ 8,\ 13,\ 18,\ \ldots\) is \(78\)?

An eight-lane running track has lane lengths that form an A.P. The innermost lane is \(400 \text{ m}\) long and each subsequent lane is \(7.6 \text{ m}\) longer than the preceding lane. The length of the 6th lane is:

The first term of an A.P. is \(p\) and its common difference is \(q\). Its 10th term is:

For a cable-car ride, the first support pole is \(200 \text{ m}\) from the base and the poles are installed at equal intervals of \(150 \text{ m}\). The distance between the 15th pole and the 25th pole is:

How many two-digit numbers are divisible by \(3\)?

What is the common difference of an A.P. in which \(a_{21} - a_{7} = 84\)?

The 9th term of an A.P. is \(37\) and its 15th term is \(55\). The common difference of the A.P. is:

A part-time tutor is paid ₹200 in the first month and receives ₹25 more in each succeeding month. The payment in the 12th month is:

A student saves ₹500 in the first month and increases the monthly saving by ₹50 each month. The total amount saved in the first 8 months is:

In an auditorium, the first row has 12 seats and each succeeding row has 3 more seats than the row in front of it. Beginning with which row does the number of seats first exceed 40?