The sum of 5 consecutive integers is 100.What is the second number in this sequence?

解

T h e s u m o f 5 co n sec u t i v e in t e g ers i s 100. Wha t i s t h e seco n d n u mb er in t hi s se q u e n ce ?

The number : 19

解答ステップ

Represent the numbers with

x

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 100

解く

x + x + 1 + x + 2 + x + 3 + x + 4 = 100 : x = 18

x + 1 = 18 + 1 = 19

x + 2 = 18 + 2 = 20

x + 3 = 18 + 3 = 21

x + 4 = 18 + 4 = 22

The number : 19