The average of 17 consecutive natural numbers is 30. 5 previous consecutive natural numbers to these 17 natural numbers are also included. What is the smallest number among these 22 numbers?
Show answer & explanation
Correct answer: D
Explanation
Given:
Average of 17 consecutive numbers = 30
According to the formula:
Average of an Arithmetic Progression (AP) with an odd number of terms = The middle term
Middle term = 30
Total 17 numbers ⇒ 8 numbers on each side
Smallest (First) number = 30 − 8 = 22
Now, consider the 5 numbers preceding this one:
22 − 5 = 17