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

Sigma notation of sequence −10, −13, −16, … is

Need to determine the sigma notation for the following sequence  

−10, −13, −16, …

Let's try to build a generic formula for given sequence  

The given sequence is in Arithmetic progression where first term = -10 and common difference = -3

The formula for arithmetic progression is given as:

Where,

is the nth term in the sequence

is the first term in the sequence

d is the common difference between the terms

Here in this sequence = -10 and d = -3

So generic formula for a term is – ( 3n + 7 )

And so on

Using sigma notation for arithmetic sequence:

So for first six terms value of n will vary from 1 to 6 and in sigma notation it can be represented as

i think that you should ask google for the answer to that problem because if we don't know it google does

the answer would be  

a.

3: 1

step-by-step explanation: