Respuesta :
Answer: 5, 6, 7, 8, 9
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Explanation:
Consecutive integers are ones that follow one right after another. Some examples include:
- 1,2,3,4,...
- 7,8,9,...
- 210,211,212,213,...
We don't know what the starting value is, so let's say its x. The next number after that is x+1. Then after that is (x+1)+1 = x+2. And so on.
- first = x
- second = x+1
- third = x+2
- fourth = x+3
- fifth = x+4
The sum of the first three terms is equal to twice the fifth number, so,
(first) + (second) + (third) = 2(fifth)
(x) + (x+1) + (x+2) = 2(x+4)
3x+3 = 2x+8
3x-2x = 8-3
x = 5
The starting item is 5. The next is 6 and so on.
- first = x = 5
- second = x+1 = 5+1 = 6
- third = x+2 = 5+2 = 7
- fourth = x+3 = 5+3 = 8
- fifth = x+4 = 5+4 = 9
The five numbers are: 5,6,7,8,9
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Check:
Summing the first three terms = 5+6+7 = 11+7 = 18
Twice the fifth term = 2*9 = 18
The answer is confirmed.
