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The sum of 5 consecutive even numbers is 200. what is the fifth number in this sequence

2 Answers

1 vote
answer: 44

solution: x+(x+2)+(x+4)+(x+6)+(x+8)=200
5x+20=200
5x=180
x=36
5th number - x+8=36+8=44
User Robin Thoni
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3 votes

Answer:

The fifth number in this sequence is 44.

Explanation:

Given : The sum of 5 consecutive even numbers is 200.

To find : What is the fifth number in this sequence?

Solution :

Let the 5 consecutive even numbers are x,(x+2),(x+4),(x+6),(x+8)

The sum of 5 consecutive even numbers is 200.

i.e.
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 200

Solving the equation,


5x+20= 200


5x=180


x=(180)/(5)


x=36

So, The numbers are

First number x=36

Second number x+2=36+2=38

Third number x+4=36+4=40

Fourth number x+6=36+6=42

Fifth number x+8=36+8=44

Therefore, The fifth number in this sequence is 44.

User Stonean
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