### 1.If a, b, c are in G.P., then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in

### 2. If a, b, c are in AP then

### 3.Three numbers form an increasing GP. If the middle term is doubled, then the new numbers are in Ap. The common ratio of GP is

### 4.The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + …… is

### 5. If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then

### 6.The sum of series 1/2! + 1/4! + 1/6! + ….. is

### 7. The third term of a geometric progression is 4. The product of the first five terms is

### 8.Let Tr be the r th term of an A.P., for r = 1, 2, 3, … If for some positive integers m, n, we have Tm = 1/n and Tn = 1/m, then Tm n equals

### 9.The sum of two numbers is 13/6 An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Then the number of means inserted is

### 10.If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a, c/b are in

### 11.If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then

### 12. The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1

### 13. The sum of two numbers is 13/6 An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Then the number of means inserted is

### 14.The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is

### 15. The sum of AP 2, 5, 8, …..up to 50 terms is

Tags:
A.P. & G.P.