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Veronika [31]
3 years ago
14

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

Mathematics
2 answers:
Andrej [43]3 years ago
8 0
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
Deffense [45]3 years ago
7 0

Answer:

The fifth number in this sequence is 44.        

Step-by-step 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=\frac{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.

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