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For any positive integer n, the sum of the first n integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301. Would like a very thorough explanation of this problem. You don't need to follow the formula. Just go by the simple method, i.e, sum = Average* no. of terms Aver...

by shwetagoyal121

Mon May 30, 2016 3:43 am
Forum: Problem Solving
Topic: Consecutive Integers
Replies: 10
Views: 7903

Max@Math Revolution wrote:1/(9-4√5)=?
A. 9+4√5
B. 9-4√5
C. 9+2√5
D. 9-2√5
E. 4+9√5

*An answer will be posted in 2 days.
Answer: A (Method: rationalize)

by shwetagoyal121

Mon May 30, 2016 2:24 am
Forum: Problem Solving
Topic: 1/(9-4√5)=?
Replies: 3
Views: 2957

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990. What is least possible value of n? a) 10 b) 11 c) 12 d) 13 e) 14 A lot of integer property questions can be solved using prime factorization. For questions involving divisibility, divisors, ...

by shwetagoyal121

Sun May 29, 2016 11:27 pm
Forum: Problem Solving
Topic: If n is a positive integer, and the product of all integers
Replies: 6
Views: 13138