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*Sum of even numbers not more than 30. (Not more 30 means 30 is included. Use the symbol ≤)*

*= {x/x is an even number ≤ 30 }*

*= {2, 4, ... 30]*

*The difference (d) between any two consecutive numbers = 2*

*Steps:*

*1) Find the number of terms in a sequence of even numbers up to 30. The pattern/rule is:*

*where:*

*= the last term ⇒ 30*

*= is the first term ⇒ 2*

*d (difference) = 2*

*2) Solve for n:*

*30 = 2 + (n - 1) (2)*

*30 = 2 + 2n - 2*

*30 = 2n*

*2n/2 = 30/2*

*n = 15*

*The number of terms in the given sequence is 15.*

*3) Solve for the sum of the sequence:*

*The sum of even numbers not more than 30 is*

*240.*(Note: I assume that you are reviewing for MTAP, because this is an advance topic for Grade 2 or 3 student.}