Question

The average of 5 consecutive integers is 3 the diffrence between second and fourth term of the sequence is

Answer 1

well I have considered the beginning term as 'a'

Answer 2

The difference between second and fourth term of the sequence is 2

Solution:

Let the consecutive integers be:

first term = x

second term = x + 1

third term = x + 2

fourth term = x + 3

fifth term = x + 4

The average of 5 consecutive integers is 3

$Average = \frac{ x + x + 1 + x + 2 + x + 3 + x + 4 }{5}\\\\3 = \frac{ x + x + 1 + x + 2 + x + 3 + x + 4 }{5}\\\\15 = 5x + 10\\\\5x = 15 - 10\\\\5x = 5\\\\x = 1$

Find the difference between second and fourth term of the sequence:

second term = x + 1 = 1 + 1 = 2

fourth term = x + 3 = 1 + 3 = 4

Difference = 4 - 2 = 2

Thus the difference between second and fourth term of the sequence is 2

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