Question

23. S is the sum of the first 100 consecutive positive even integers, and T' is the sum of the first 100 consecutive positive integers. S is what percent greater than 7?A. 100%B. 50%C.10%D.2%

Answer 1

S is the sum of the first 100 consecutive positive even integers, and T' is the sum of the first 100 consecutive positive integers. S is what percent greater than T?



A. 100%



B. 50%



C.10%



D.2%

we have that

t=1/2 * n(n+1) = sum all numbers from 1 to n

For n=100

t=1/2 * 100(100+1)=5,050

s=n(n+1) = sum 1st n even numbers

s=100(100+1)=10,100

so

s/t=10,100/5,050

s/t=2

therefore

the answer is 100%

option A