Question

The average of set of 18consecutive integers is22.5 what is smallest integer if set​

Answer 1

Answer:

The smallest integer in the set is 14

Step-by-step explanation:

Its given that the average of 18 Consecutive integers is 22.5

Therefore total sum of 18 integers will be 18 x 22.5 = 405

Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = $\frac{n}{2}$(a+l)

n is the number of terms in the sequence

a is the first number

l is the last number

So the sum is

405 = $\frac{18}{2}$(x + x + 17)

405 = 9(2x + 17)

2x + 17 = 45

2x = 45 - 17

2x = 28

x = $\frac{28}{2}$

is x = 14

So the smallest integer in the set is 14