Question
What is the value of 143 +
163 + 183 + … + 303?Solution
143 + 163 + 183 + .... + 303 =8(73 + 83 + 93 + …. + 153) Sum of n cubes = (n(n + 1)/2)2 for n=6 we have 212 = 441 for n=15 we have1202 = 14400 Difference=14400-441 =13959 Therefore 8*13959=111672
More Simplification Questions
The minimum value of 25 sin2 θ + 16 cos2 θ is
- If 2cosec 2 A – cot 2 A = 5 and 0 o < A < 90 o , then find the value of ‘A’.
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
(tan 5x - tan 3x - tan 2x) = ?
If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.
If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If sec x + tan x = 11 then find secx?
