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jcherry99

Answer:

Step-by-step explanation:

If you have an odd number of consecutive numbers, the middle number should be x. So 7 of them would be written as

(x - 3)+(x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x+3)

That way all you are left with is 7x because the integers cancel.

That is not your question

You question is

Sum = m+(m + 1)  + (m + 2) + (m + 3) + (m + 4) + (m + 5) + (m + 6)

Hello!

We can say what the formula is:

  • 7m + 21

Let's go?

We need a formula to add 7 consecutive numbers, m being the first one.

So, we have:

  • m + (m + 1) + (m + 2) + (m + 3) + (m + 4) + (m + 5) + (m + 6)

Now, let's simplify, joining the m and the numbers:

  • m + m + m + m + m + m + m + 1 + 2 + 3 + 4 + 5 + 6
  • = 7m + 21

So, the formula is:

  • 7m + 21.

Let's go with an example?

Let's say that m is 2. So, we substitute in the first non-simplified formula:

  • 2 + (2 + 1) + (2 + 2) + (2 + 3) + (2 + 4) + (2 + 5) + (2 + 6)
  • 2 + 3 + 4 + 5 + 6 + 7 + 8
  • = 35

Now, we put it in the simplified formula, and it should give the same result:

  • 7 × 2 + 21
  • 14 + 21
  • = 35

It was confirmed. We conclude, once again, that the formula is:

  • 7m + 21

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Learn more:

https://brainly.com/question/342515

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Hope this helps. Good studies! ☺

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