Find the value of the smallest odd integer if for consecutive integers, the sum of the even integers is 60

Alisa Taylor

Alisa Taylor

Answered question

2022-10-31

Find the value of the smallest odd integer if for consecutive integers, the sum of the even integers is 60

Answer & Explanation

Davin Meyer

Davin Meyer

Beginner2022-11-01Added 13 answers

Any even number A can be of the form A = 2 B with B an ordinary number.
Therefore the sequence of consecutive even integers with a sum of 60 can be found by solving the sequence of consecutive integers with a sum of 30:
( 1 8 ) = 36
( 1 3 ) = 6
( 4 8 ) = 30
So we find that 4+5+6+7+8=30
therefore 8+10+12+14+16=60
Now we know the even numbers of the sequence of consecutive integers. Therefore, the smallest odd integer of the sequence will be the one coming before the smallest even integer: 7
The sequence is 7;8;9;10;11;12;13;14;15;16(;17)

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