For all even integers n, h(n) is defined to be the sum of the even integers between 2 and n, ...
For all even integers n, h(n) is defined to be the sum of the even integers between 2 and n, inclusive. What is the value of h(20)/h(10) ?
Answer/Solution
3
Steps/Work
CONCEPT: When terms are in Arithmetic Progression (A.P.) i.e. terms are equally spaced then
Mean = Median =(First+Last)/2
and Sum = Mean*Number of terms
h(20) = [(2+20)/2]*9 = 99
h(10) = (2+10)/2]*5 = 30
h(18)/h(10) = (99) / (30) ~ 3
Answer : E
Mean = Median =(First+Last)/2
and Sum = Mean*Number of terms
h(20) = [(2+20)/2]*9 = 99
h(10) = (2+10)/2]*5 = 30
h(18)/h(10) = (99) / (30) ~ 3
Answer : E