Part 1: create a scenario for an arithmetic sequence. for example, jasmine practices the piano for minutes on monday. every day+ she her practice time by if she continues this pattern, how many minutes will she practice on the 7th day? be sure to fill in the blanks with the words that will create an arithmetic sequence. use your scenario to write the function for the 7th term in your sequence using sequence notation.

ah, so an aritmetic sequence can be written in form

where is the nth term

is the first term

d is the common difference or how many times it increase or decreases each day

so an example:

Bob swims 2 miles on one day. Every day, he increases his distance by 0.2 miles. If he continues this pattern, how many miles will he swim on the 7th day?

bob swims 3.2 miles on the 7th term

also, you can use f(n) instead of

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.