Related InterviewSolutions

• If y = x + x2 + x3 + … ∞, where | x | < 1, then Prove that x = (y/(1 + y))
• 10th term of series – 4, – 1, + 2, + 5, … is :(a) 23(b) – 23(c) 32(d) – 32
• Find the common ratio and 12th term of G.P. 5 + 10 + 20 + 40 + …
• 9th term of A.P. is 35 and 19th term is 75, then 20th term will be :(a) 78(b) 79(c) 80(d) 81
• If 4th term of any G.P. is p, 7th term is q and 10th term is r, then prove that q2 – pr.
• If x2 (y + z), y2 (z + x), z2(x + y) are in A.P., then prove that either x, y, z are in A.P. or xy + yz + zx = 0.
• Sum of n terms of series 1, 3, 5, … is :(a) (n – 1)2(b)(n + 1)2(c) (2n – 1)2(d) n2
• How many two digit natural number which are divisible by 3 ?
• Sum of n terms of any A.P. is n2 + 2n. Find the first term and common difference.
• If 9th term of A.P. is zero, then prove that 29th term is twice the 19th term.