SOLUTION: In the set (5, 8, 11, 14,......, 95), how many of the numbers are even?

Question 1058335: In the set (5, 8, 11, 14,......, 95), how many of the numbers are even?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
this is an arithmetic sequence, the nth term is given by
:
x(n) = x(1) + (d * (n-1)), where d is the common difference
:
95 = 5 + (3 * (n-1))
:
95 = 5 + 3n - 3
:
3n = 93
:
n = 31
:
we have 31 terms to consider
:
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since 95 is odd, we have (31-1) / 2 = 15 even numbers
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