SOLUTION: Determine the pattern in the set of numbers. Explain what the pattern is, then write the next two numbers. 5,8, 11, 14,... ( I know this part) Find the sum of the first 100 even

Algebra ->  Sequences-and-series -> SOLUTION: Determine the pattern in the set of numbers. Explain what the pattern is, then write the next two numbers. 5,8, 11, 14,... ( I know this part) Find the sum of the first 100 even      Log On


   



Question 800386: Determine the pattern in the set of numbers. Explain what the pattern is, then write the next two numbers.
5,8, 11, 14,... ( I know this part)
Find the sum of the first 100 even numbers. What strategy did you use?
( I don't get this part at all)

Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
d = 8 - 5 = 3
sum = n/2(2a + (n - 1)d
sum = 100/2 (2(5) + (100 -1)3)
sum = 50 (10 + (99)3)
sum = 50(10 + 297)
sum = 50(307)
sum = 15350