When you add two consecutive triangular numbers, the result is a perfect square. For example, the first two triangular numbers are 1 (T1) and 3 (T2), and their sum is 4, which is (2^2). In general, the sum of the (n)-th triangular number (T_n) and the ((n+1))-th triangular number (T_{n+1}) equals ((n+1)^2). This relationship holds for all pairs of consecutive triangular numbers.
Square numbers.
The consecutive numbers that add up to eight are 3 and 4. When you add these two numbers together (3 + 4), the sum is 7. However, there are no two consecutive whole numbers that sum to 8. The closest consecutive whole numbers are 4 and 5, which add up to 9.
There are no two consecutive numbers that add or multiply to 102.
94 = 22 + 23 + 24 + 25Four consecutive numbers that add to 94 are 25,26,27,28.
3332, 3333 and 3334 add up to 9999 - there are no three consecutive numbers that add up to 10,000.
Square numbers.
The square of the second number.
16,25,36 add to 77. They are the squares of consecutive numbers 4,5,6
The consecutive numbers that add up to eight are 3 and 4. When you add these two numbers together (3 + 4), the sum is 7. However, there are no two consecutive whole numbers that sum to 8. The closest consecutive whole numbers are 4 and 5, which add up to 9.
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.
The consecutive numbers that have a sum of 257 are 128 and 129.
There are no two consecutive numbers that add or multiply to 102.
94 = 22 + 23 + 24 + 25Four consecutive numbers that add to 94 are 25,26,27,28.
3332, 3333 and 3334 add up to 9999 - there are no three consecutive numbers that add up to 10,000.
3, 5 and 7 are consecutive odd prime numbers.
Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.