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Q: What are 2 consecutive numbers whose squares differ by 17?

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8

62 and 63

12 and 13

15 and 16

12 and 13 (and you may note that 12+13 = 25)

The numbers are 13 and 14.

17 and 18

The numbers are 12 and 14.

The numbers are 12 and 14.

24 and 25, which are (49-1)/2 and (49+1)/2

122 + 142 = 340

Let's call n the first one the problem is (n+1)2-n2=17 = 2n+1 then n = 8

Consecutive numbers are whole numbers whose difference is 1.

There are two consecutive even numbers. The numbers are 62 and 64.

Any pair of consecutive numbers will have an odd total. 10 and 12 are consecutive even numbers that total 22.

There is no set of four consecutive whole numbers whose sum is 75.

The numbers are 20 and 21.

The numbers are -8, and -7.

The numbers are 64 and 65.

The numbers are 244 and 245.

They are perfect squares.

There is no set of 8 consecutive whole numbers whose sum is 75.

The numbers are 18 and 20.

There are no such numbers. The smallest set of three consecutive composite numbers is {8, 9, 10} and the product of these numbers is 720.

There is no set of 3 consecutive odd numbers whose product is 6,873. However, there is a set of 3 consecutive odd numbers whose sum is 6,873: 2289, 2291, and 2293.

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