Question

Assertion(A): Let the positive numbers a, b, c be in A.P., then 1/bc, 1/ac, 1/ab are also in A.P. Reason (R): If each term of an A.P. is divided by abc, then the resulting sequence is also in A.P.

A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

Find three numbers in A.P. whose sum is 21 and their product is 231.

The first four terms of an AP, whose first term is –2 and the common difference is –2, are