Quadratic Equations-Important Questions

1.    Find the ‘6th’ term of the A.P.:

         

2.    If the numbers a, b, c, d and e form an A.P., then find the value of a – 4b + 6c – 4d + e.

3.    If is the arithmetic mean between ‘a’ and ‘b’, then, find the value of ‘n’.

4.    If p^th term of an A.P. is prove that the sum of the first ‘pq’ terms is

5.    If are in A.P., prove that a², b², c² are also in A.P.

6.    Solve the equation:

         1 + 4 + 7 + 10 + ... + x = 287

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

8.    Find p and q such that: 2p, 2p, q, p + 4q, 35 are in AP

9.    If are three consecutive terms of an AP, find the value of a.

10.    For what value of p, are (2p – 1), 7 and three consecutive terms of an AP?