156k views
2 votes
The sum of 4 consecutive even numbers is 36 what is the first number in this sequence

2 Answers

1 vote
The answer is 6, because the sequence would go 6,8,10,12.
User Matthew Fontana
by
8.5k points
2 votes

Answer

6


Step-by-step explanation

let n be the first even number in the sequence.

The 2nd term = n + 2

3rd term = n + 2 + 2

= n + 4

4th term = n + 4 + 2

= n + 6

The sum of these number = 36.

∴ n + (n +2) + (n + 4) + (n + 6) = 36

4n + 12 = 36

4n = 36 - 12

4n = 24

n = 24/4

= 6

The first term is 6.

User Marcopolo
by
8.3k points