asked 91.7k views
5 votes
The sum of 5 consecutive even numbers is 310.
What is the third number in this sequence?

asked
User Anydot
by
8.7k points

2 Answers

4 votes

2,2n+2,2n+4,2n+6,2n+8 - 5 consecutive even integers

2n+4 - 3rd number


2n+2n+2+2n+4+2n+6+2n+8=310\\10n+20=310\\10n=290\\n=29\\\\2n+4=2\cdot29+4=62

answered
User Vadym Tyemirov
by
8.1k points
3 votes

Answer:62

Explanation:

The differance between 2 consecutive even number is 2...so if the first consecutive even number is x, then the next 4 consecutive even number will(x+2),(x+4),(x+6),(x+8)

So

X+(x+2)+(x+4)+(x+6)+(x+8)=310

5x+20=310

So,x=58

As the third number is (x+4)

Putting the value of x the final result comes(58+4)=62.

answered
User Dave MacLean
by
9.0k points

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