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Popular Word Problems >

the sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?

Solution

t h e s u m o f 6 co n sec u t i v e o dd n u mb ers i s 204. Wha t i s t h e f o u r t h n u mb er in t hi s se q u e n ce ?

Solution

The number : 39

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

Consecutive number 5 : x + 10

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 204

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 204 : x = 29

x + 2 = 29 + 2 = 31

x + 4 = 29 + 4 = 33

x + 6 = 29 + 6 = 35

x + 8 = 29 + 8 = 37

x + 10 = 29 + 10 = 39

The number : 39

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