Question

The sum of 3consecutive even numbers is 132.
What is the third number in this sequence?

Answer 1

Step-by-step explanation:

Given:-

The sum of 3consecutive even numbers is 132.

To find:-

What is the third number in this sequence?

Solution:-

Let the three consecutive even numbers =

2x, 2x+2,2x+4

Their sum = 2x+2x+2+2x+4

=>6x+6

Given that

The sum of 3consecutive even numbers is 132.

=>6x+6=132

=>6x=132-6

=>6x=126

=>x=126/6

=>x=21

now 2x=2(21)=42

2x+2=42+2=44

2x+4=42+4=46

The three consecutive even numbers = 42,44,46

Answer:-

The third even number in the sequence = 46

Check:-

Sum of 42,44,46=42+44+46=132

Used concept :-

The general form of an even number=2n