If {an} is a sequence with a0 = p and an - an-1 = ran-1 for n ≥ 1, then the terms of the sequence are in (1) AP (2) GP (3) HP (4) an arithmetico... View Article
If a1, a2,...a50 are in GP, then (a1-a3+a5-...+a49)/(a2-a4+a6-...+a50) is equal to (1) 0 (2) 1 (3) a1/a2 (4) 2 a25/a24 Solution: Let a be... View Article
Let a1, a2...a10 be in AP and h1, h2,... h10 be in HP. If a1 = h1 = 2 and a10 = h10 = 3, then a4h7 is (1) 2 (2) 3 (3) 5 (4) 6 Solution: Given... View Article
Solution: Given 81+cos x +cos^2x +... = 64 81+cos x +cos^2x +... = 82 1+cos x + cos2x+..... Is an infinite GP with a = 1 and r = cos x.... View Article
Let Sk be the sum of an infinite GP series whose first term is k and common ratio is k/(k + 1) (k> 0). Then, the value of sigma k = 1 to... View Article
Probability is an important branch of Mathematics which basically deals with the phenomena of chances or randomness of events. Probability of an... View Article
The number of 0's is equal to the powers of 5 in the expansion of 50!. The approximate value of 50! is 3.0414093201713E+64 So, there are 12... View Article
A straight line is a one dimensional figure that makes a 180 degree angle when drawing an angle from one point to another. Read more. To draw a... View Article
Rolle's theorem is a special case of the mean-value theorem of differential calculus. “All three conditions of Rolle's theorem are important for... View Article
Binding energy is the energy with which an electron is bounded in the atom due to attractive force. Electron binding energy, also called as... View Article
Copper is used for electrical wires due to its good electrical conductivity. A malleable, metallic chemical element with high conductivity.... View Article