Answer: {2, -2, -6, -10}
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
I hope this helped!
Answer:
Step-by-step explanation:
The equation representing the price of gas for the years after 2000 is expressed as
y = 1.26(1.10)^x
Where x = 0, 2, 4, 6, 8, and 10 represent these years : 2000, 2002, 2004, 2006, 2008, and 2010, the table would be
1) x = 0(2000)
y = 1.26(1.10)^0
y = 1.3
2) x = 2(2002)
y = 1.26(1.10)^2
y = 1.5
3) x = 4(2004)
y = 1.26(1.10)^4
y = 1.8
4) x = 6(2004)
y = 1.26(1.10)^6
y = 2.2
5) x = 8(2006)
y = 1.26(1.10)^8
y = 2.7
6) x = 10(2008)
y = 1.26(1.10)^10
y = 3.3
Answer:
Step-by-step explanation:

Answer:
4.68
Step-by-step explanation:
Remember to line up the decimal point. Subtract as ordinarily.
8.31
-3.43
--------
4.68
4.68 is your answer
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