【 】The sum of 5 consecutive even numbers is 100. What is the very first number in this sequence?
The sum of 5 consecutive even numbers is 100. What is the an initial number in this sequence?
We require to uncover out the 3rd numberfromconsecutive even number sequence.
You are watching: The sum of 5 consecutive even numbers is 100. what is the first number in this sequence?
We need to have knowledge about even number . If you division a even number by 2 ,you will get a remainder that 0.
Now you need to understand around consecutive even number.The difference in between two consecutive also numberis always 2.
Say,the an initial even number is x.
So ,the second even number will be x+ 2. Thus, the 3rd , fourth and fifth consecutive even number will certainly be x+4,x +6 and x+ 8 respectively.
According to the conditions,the amount of 5 consecutive even number will be 100.
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So, us are obtaining the following equation
x + x+2+x+4 +x+6 +x+8 =100
Or,5x +20 = 100
Or,5x + 20 – 20 = 100 -20< Deduct 20 indigenous both political parties >
Or, 5x + 0 = 80
Or, 5x = 80
Or, 5x/5 = 80/5
Or, x = 16
Now put the worth of x here:
x, x+2,x+4 , x+6, x+8
= 16, 16+2 , 16+4, 16 +6,16+8
= 16, 18, 20, 22 , 24
So, the an initial number the this succession is 16.
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