Please post the full text of the question. Is it "what is the sum of the next 50 even numbers?" And what are the choices?

imanemekouar wrote:

Sum=average*numbers of terms

Numbers of term=(200-102)/2 =43

Your error is here. The number of even numbers between 102 and 200, inclusive, is

(200-102)/2 + 1 = 98/2 + 1 = 49 + 1 = 50.{You divide the range by 2 since only half of any set of consecutives is even, and "add one before your done" to include 102 as one of the terms you are counting.}

Also, think about this: There are 50 positive even numbers up to and including 100 (i.e. 2, 4, 6, ...., 98, 100). The set from 102 to 200 is just the first set shifted up by 100.

Thus, Sum = Average * Number of Terms = 151 * 50 = 7550. Check it another way: if each term is 100 more than the corresponding term in the 2 to 100 set, and there are 50 terms, this sum should be 5000 greater than the 2550 sum given.