True. A series is arithmetic if its terms come from an arithmetic sequence.
And a sequence is said to be arithmetic any of its two consecutive terms differ by a fixed difference, common to any consecutive pair.
As you can see, in this case, all terms differ by 2, so the sequence
is arithmetic, and thus the series
is arithmetic as well.
Answer: 36y
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For every decimal place you move a decimal through a number you can think of it as multiplying or dividing by ten.
take for example 1000.0
if you move the decimal to make this number 100.00 you divided it by ten
if you move the decimal again to make 10.000 you divided ten again
but, if you make the number bigger, say 10000. then you have multiplyed by ten.
Answer: B) 3+y+3
This can be simplified to y+6, but the current un-simplified expression has 3 terms.
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Explanation:
Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.
Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.
Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.
Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.
<u>Answer:</u>
A. 8.2 x 10^6
<u>Step-by-step explanation:</u>
To get what 4.1x10^3 is equal to you move the decimal point to the right three times. This leaves you with 4,100. To get what 2.0x10^3 is equal to, you move the decimal point to the right three times. This leaves you with 2,000. 4,100 x 2,000 is 8,200,000. Then move the decimal to the left until it is behind the 8. In order to do this, you would have to move the decimal point 6 times. So the final answer is 8.2 x 10^6.
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