Question

# Make and test a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.

Hint:

### Check by taking some examples.

## The correct answer is: Any sum of m consecutive numbers adds up to a number that is divisible by m

### Complete step by step solution:

Here, 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28 is divisible by 7.

Take, 2 + 3 + 4 + 5 + 6 + 7 + 8 = 35is also divisible by 7.

So, we get that the sum of 7 consecutive integers is always divisible by 7.

That is, Any sum of m consecutive numbers adds up to a number that is divisible by m

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