Express the given quantity in terms of the indicated variable. The sum of six consecutive integers; n = first integer of the six

Six consecutive integers means something like 4, 5, 6, 7, 8, and 9, where each next integer is 1 greater than the one before it.

My generally, if your first integer is n,

Then the next one is one more: n+1.

Then the next one is one more than that: n+1 + 1 or n+2.

Then the next one is one more than that: n+2 + 1 or n+3.

Then the next one is one more than that: n+3 + 1 or n+4.

Then the next one is one more than that: n+4 + 1 or n+5.

That's six consecutive integers.

And the sum of those is:

n + n+1 + n+2 + n+3 + n+4 + n+5

or

6n + 15

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