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An arithmetic progression is a list of numbers in which each term isobtained by adding a fixed number to the preceding term except the firstterm. This fixed numberis called the common difference of the AP. Remember that it can be positive, negative or zero.

For examples of AP Let the heights ( in cm ) of some students of a school standing in a queue in themorning assembly are 147 , 148, 149, . . ., 157.

**Q.** Find the 20th term from the last term of the A.P. : 3, 8, 13, …, 253.

**Q.** The value of x for which 2x, (x+10) and (3x+2) are the three consecutive terms of an AP, is

**Q.** The first term of AP is p and the common difference is q , then its 10th term is

**Q.** In an AP, if d = − 4 , n = 7 and an = 4 , then a is equal to

**Q.** What is the common difference of an AP in which a18 − a14 = 32 ?

**Q.** Second term of an arithmetic sequence is 5 and fifth term is 2 The common difference will be

**Q.** The nth term of any arithmetic progression in 4n-3 find the 15th term

**Q.** The nth term of a sequence is n^2+ 5. Find the first three terms of this sequence.