If the average of 14 consecutive even numbers is 107, find the smallest number.
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Correct answer: B
Explanation
Number of even numbers = 14
Average = 107
(First number + Last number) / 2 = 107
First number + Last number = 214
Difference between consecutive even numbers = 2
Last number = First number + (14 − 1) × 2 = First number + 26
Average in an Arithmetic Progression = (First number + Last number) / 2
First number + (First number + 26) = 214
2(First number) + 26 = 214
2(First number) = 188
First number = 94
Smallest number = 94