a
3, 5, 7 and 9.
They are 5 and 6
30, 31, 32 and 33
The numbers are 41, 42 and 43.
There are none because two consecutive even integers would add up to an even number and the number given of 217 is an odd number.
11+12+13+14=50
The consecutive integers whose sum is 51 are 16, 17, and 18.
I think the answer is zero. The only 15 consecutive integers whose average is 7 are the integers 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14. For any odd number of consecutive integers the average will be equal to the middle number, and this is the only group of 15 consecutive integers with 7 as the middle number. The product of any group of numbers that includes 0 will always be 0 because 0 times anything is 0.
There is no solution. Since 126 is even and two consecutive integers have to be one odd and one even number, an odd and an even number cannot summate to an even number.
1 and 2, whose product is 2.
The three consecutive numbers whose sum and product are the same are 1, 2, and 3.
It is 260.