### 【 】The amount of 5 consecutive also numbers is 100. What is the an initial number in this sequence?

The amount of 5 consecutive also numbers is 100. What is the an initial number in this sequence?

Solution:

We need to discover out the 3rd numberfromconsecutive also number sequence.

You are watching: The sum of 5 consecutive even numbers is 100

Step-1:

We need to have knowledge about even number . If you divide a also number through 2 ,you will obtain a remainder that 0.

Now you have to understand about consecutive also number.The difference in between two consecutive also numberis always 2.

Step-2:

Say,the an initial even number is x.

So ,the second even number will be x+ 2. Thus, the third , fourth and also fifth consecutive also number will certainly be x+4,x +6 and x+ 8 respectively. Step-3:

According come the conditions,the amount of 5 consecutive even number will be 100.

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So, we are acquiring 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 from both sides >

Or, 5x + 0 = 80

Or, 5x = 80

Or, 5x/5 = 80/5

Or, x = 16

Now placed the value 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 very first number of this succession is 16.

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