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

a) the summation from n equals one to 6 of quantity negative 10 plus 3 times n
b) the summation from n equals one to 6 of quantity negative 7 minus 10 times n
c) the summation from n equals one to 6 of quantity negative 7 minus 3 times n
d) the summation from n equals one to 6 of quantity negative 7 plus 3 times n

The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a=  First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Sn =

Sn =

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

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step-by-step explanation:

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