【】 The amount of 5 consecutive also numbers is 310 . What is the third number in this sequence?


The sum of 5 consecutive also numbers is 310. What is the third number in this sequence?

Solution:

We require to discover out the 3rd numberfromconsecutive even number sequence.

You are watching: The sum of 5 consecutive even numbers is 310

Step-1:

We need to have knowledge around even number . If you divide a also number by 2 ,you will acquire a remainder the 0.

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

Step-2:

Say,the very first even number is x.

So ,the 2nd even number will be x+ 2. Thus, the third , fourth and fifth consecutive even number will be x+4,x +6 and x+ 8 respectively.


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Step-3:

According come the conditions,the sum of 5 consecutive also number will be 310.

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So, we are acquiring the complying with equation

x + x+2+x+4 +x+6 +x+8 =310

Or,5x +20 = 310

Or,5x + 20 – 20 = 310 -20< Deduct 20 from both sides >

Or, 5x + 0 = 290

Or, 5x = 290

Or, 5x/5 = 290/5

Or, x = 58

Now placed the worth of x here:

x, x+2,x+4 , x+6, x+8

= 58, 58+2 , 58+4, 58 +6,58+8

=58, 60, 62, 64 , 66

So, the third number of this sequence is 62.

Answer:62


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