Use sigma notation to represent the sum of the first six terms of the following sequence: −10, −13, −16, …

the summation from n equals one to 6 of quantity negative 10 plus 3 times n

the summation from n equals one to 6 of quantity negative 7 minus 10 times n

the summation from n equals one to 6 of quantity negative 7 minus 3 times n

the summation from n equals one to 6 of quantity negative 7 plus 3 times n

"the summation from n equals one to 6 of quantity negative 7 minus 3 times n"

Step-by-step explanation:

General term of an arithmetic sequence:

Where

is the first term

n is the number of terms

r is the common difference

The value of r can be found by subtracting two consecutive values

Then

If we want to sum the first six terms of the sequence, we must find

The correct option is

"the summation from n equals one to 6 of quantity negative 7 minus 3 times n"

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