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Popular >

the sum of 5 consecutive integers is 200. What is the fifth number in this sequence?

Solution

the sum of 5 consecutive integers is 200. What is the fifth number in this sequence?

Solution

The number : 42

Solution steps

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 = 200

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 200 : x = 38

x + 1 = 38 + 1 = 39

x + 2 = 38 + 2 = 40

x + 3 = 38 + 3 = 41

x + 4 = 38 + 4 = 42

The number : 42

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