IDNLearn.com offers a comprehensive platform for finding and sharing knowledge. Our experts provide timely, comprehensive responses to ensure you have the information you need.
Sagot :
Answer: 5, 6, 7, 8, 9
===========================================================
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
----------
Check:
Summing the first three terms = 5+6+7 = 11+7 = 18
Twice the fifth term = 2*9 = 18
The answer is confirmed.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.
