For what value of k will k + 9,2k -1 and 2k + 7 are the consecutive terms of an A.P.?

For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k -1 form an A.P.?

How many terms of the A.P. 18,16,14,… be taken so that their sum is zero?

How many terms of the A.P. 27,24,21,… should be taken so that their sum is zero?

How many terms of the A.P. 65,60, 55,… be taken so that their sum is zero?

If the ratio of the sum of first n terms of two A.P.’s is (7n + 1): (4n + 27), find the ratio of their m^th terms.

Divide 56 in four parts in A.P such that the ratio of the product of their extremes (1^st and 4^th) to the product of means (2^nd and 3^rd) is 5 : 6.

A thief, after committing a theft, runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in the first minute and increases his speed by 5 m/minute every succeeding minute. After how many minutes, the policeman will catch the thief?

Reshma wanted to save at least Rs 6,500 for sending her daughter to school next year (after 12 months). She saved RS 450 in the first month and raised her savings by RS 20 every next month. How much will she be able to save in the next 12 months? Will she be able to send her daughter to the school next year?

It S_n, denotes the sum of first n-terms of an AP. Prove that: S₁₂ = 3 (S₈ – S₄)

Ramkali required? 2500 after 12 weeks to send her daughter to school. She saved t 100 in the first week and increased her weekly saving by ? 20 every week. Find whether she will be able to send her daughter to school after 12 weeks or not. What value is generated in the above situation?

The sum of the first seven terms of an AP is 182. If its 4^th and the 17^th terms are in the ratio 1: 5, find the AP.

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students. Which value is shown in this question?

How many three-digit natural numbers are divisible by 7?

Find the number of three-digit natural numbers which are divisible by 11

Find the number of terms of the AP: 18,15. 1/2, 13……..(-49\( \frac{1}{2} \)), and find the sum of all its terms.

How many three-digit numbers are divisible by 11?

How many three-digit numbers are divisible by 12?

Find the sum of first 40 positive integers divisible by 6

How many natural numbers are there between 200 and 500, which are divisible by 7?

How many two-digit numbers are divisible by 7?

The first and the last terms of an AP are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?

How many multiples of 4 lie between 10 and 250? Also, find their sum.