Question
If p is the fourth proportion to 4, 9 and 8, and q is
the third proportional of p and 30, then find the mean proportional between 32 and q.Solution
ATQ: 4: 9 :: 8 : p 4p = 9 × 8 p = 18 18: 30 :: 30 : q 18q = 30 × 30 q = 50 mean proportion of 32 and 50 = √(32×50) = √1600 = 40
7, 14, 42, 210, 1470, ?
A sequence {Vₙ} is defined for n ≥ 1 by:
I) For every n ≥ 3: Vₙ = 2Vₙ₋₁ − Vₙ₋₂ + 4
It is known that - V₃ = 22 and ...
12, 20, 36, ?, 132, 260
If 6 4 x 5.75 9,
Then, (x²-1) = ?
...12 13 30 �...
112 162 199 ? 242 252
...21 11.5 13 ? 45.5 116.75
...171, 173, 183, 213 , ‘?’, 411, 633.
114 106 102 100 99 ?
...Choose the correct alternative
21: 3 ∷ 574: ?