Arithmetic Prog...

Find the sum of the first 25 terms of an A.P. in which the common difference (d) is 5 and the 25^th term is 250.

If 'p' is the A.M. of three terms of an A.P. and 'q' is the A.M. of their double, find 'p' in terms of 'q'.

In an A.P, the 17^thterm is 0. According to this information, which of the following statements is true?

Find the sum of the first 50 positive integers divisible by 9.

The first term of an arithmetic progression is 9 times of its 9^th term. If the common difference is -2, then which of the following will represent the 6^th term?

The sum of three consecutive terms of an A.P. is 81 and their product is 19,440. Find out these terms.

The sum of the first 10 terms and sum of the first 20 terms of an A.P. are 14,520 and 2,68,100, respectively. Find the first term and the common difference.

In an A.P, the 51^st term is 5 times the 15^th term. According to this information, which of the following statements is true?

The first term of an A.P. is 3, the second term is 0 and the third term is -3. If -27 is the last term of the A.P, then what is the sum of all these terms?

In an A.P, the 16^thterm is -19. If the sum of the first 11 terms is 77, then which of the following values represents the sum of the first 20 terms of the A.P?

The ratio of sum of n terms of two arithmetic progressions is (2n + 3) : (4n + 5). Find the ratio of their 10^th term.

Find the sum of all integers between 50 and 500 which are divisible by 7.

The sum of 3^rd and 15^th terms of an arithmetic progression is equal to the sum of 6^th, 11^th and 13^th terms of the same progression. Which term of the given progression should necessarily be equal to zero?

If m^th and n^th terms of an A.P. are n and m respectively, then the (m + n)^th term is

In an A.P, the common difference is 11. If the sum of the first five terms is -85, then which of the following values represents the value of the second term?

There is a lemon race in a school. A lemon holder is placed at the starting point, which is 7 m away from the first lemon, and other lemons are placed 4 m apart in a straight line. Ollie starts from the lemon holder, picks up the first lemon and runs back to the holder to place the first lemon, and then runs backs to pick the next lemon. She continues in the same way until all the lemons are in the holder. If there are 20 lemons, then what is the total distance covered by Ollie?

Molly is playing with some sticks. She wants to stack them. So, she places 20 sticks in the bottom row, 19 in the next row, 18 in the next, and so on. If she only has 200 sticks, then how many sticks will be there in the topmost row?

A scientist is observing a galaxy. It is in spiral shape which is made up of semicircles. The radius of the first semicircle is billion kilometres, the radius of the second semicircle is 2 billion kilometres, the radius of the third semicircle is billion kilometres, and so on. According to this information, which of the following statements is true?

A company announces some cash prize to celebrate the hard work of its employees. It decides a sum of Rs. 50,000 to be used to give 5 prizes to the selected employees for their overall performance. Each prize is Rs. 4000 less than its preceding prize. According to this information, which of the following represents the value of the third prize?

In a field, there are few plants in rows. There are 80 plants in the first row, 76 plants in the second row, 72 plants in the third row, and so on. There are only 24 plants in the last row. How many rows are there in the field?

Which of the following statements are true?

(1) The sum of the A.P. 1, 3, 5, …, 197 is 9801.
(2) There are 200 multiples of 11 between 100 and 2330.
(3) If a + 1 is the first term, 3a is the second term and 4a + 2 is the third term of an A.P, then the value of 'a' is 3.

In a certain A.P, the first term, the common difference and the nth term are represented by x, y and z. According to this information, which of the following represents the value of n?

A certain A.P. is given and the A.P. is -200, -170, -140, -110, ...

Which of the following statements is true according to this A.P?

There are two arithmetic progressions. The first, the second and the third term of the first A.P. are 28, 26.5 and 25, respectively; and the first three terms of the second A.P. are 4, 4.5 and 5, respectively. If the n^th terms of the two A.P.s are equal, then which of the following values represents 'n'?

Fill in the blanks.

(1) The fifth term of an A.P. is 14. If the 27^th term exceeds the 21^st term by 12, then the common difference of the A.P. P .
(2) The sum of an A.P. is 'c'. The first term of this A.P. is 'a' and the last term is 'b'. The total number of terms in this A.P. is Q .
(3) A school decided to donate some amount of money to an orphanage. It was decided that each class would give only one hundred rupee notes and the number of one hundred rupees would be the same as the class which is donating the money, e.g. a section of class I would give one hundred rupee and class II would give two notes of one hundred, and so on till class XII. If there were four sections of each class, then the total amount of money given to the orphanage was R .