Determine the number of terms n in each arithmetic series. a₁=14 d=10 sn= 1260 i know the answer is 15, i'm just not sure how to get there.

We're given an arithmetic sequence that starts with and a common difference between terms of . Recursively, this sequence is given by

We can find an explicit formula for the -th term :

and so on, with the general pattern of

We're given that the sum of the first consecutive terms is

Recall that

So we solve for :

(there are two solutions, but only one is a positive integer)

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300