Answer: Only the second sequence is arithmetic.
Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence.
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term.
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term.
In bmultiplying, you always have to move the decimal of the product the amount of place values the decimal has in each factor, for example, 1.50 times 1.50= 2.25, the factors together have 4 decimals, so you move the decimal 4 times to the right (try it, it gets rid of alot of zeros in the answer.)
Answer:
George's mistake would be:
Instead of 2x + 40, she has made - x + 20.
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y + 20 = 2(x +20)
y + 20 = 2x + 40
- 20 - 20
----------------------
y = 2x + 20
(Should have been the answer)
BUT,
George's Solving:
y + 20 = 2(x + 20)
y + 20 = -x + 20
George's Mistake would be her miscalculation during her 2nd step. Where instead of distributing 2 to (x + 20), she has changed it to -x + 20, when in reality, it should have been 2x + 40.
As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.
Formulas:
Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)
Year 2: 565,000 (sales) - x (expense) = y (profit)
Net Profit: 211,000 + y = 113,000
Math
211,000 (profit y1) + 565,000 (sales y2) = 776,000
776,000 - 113,000 (net profit) = -663,000 (expenses)
Confirm:
Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)
Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000
211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)
89+90=171. keep in mind that increased or increased by means to add
