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anonymous
 one year ago
Which of the following sequences of numbers are arithmetic sequences?
Check all that apply.
A. 54, 71, 88, 105, 122, ...
B. 154, 71, 8, 5, 2, ...
C. 345, 346, 347, 348, 349, ...
D. 12, 24, 36, 48, 56, ...
E. 3, 10, 17, 24, 31, ...
anonymous
 one year ago
Which of the following sequences of numbers are arithmetic sequences? Check all that apply. A. 54, 71, 88, 105, 122, ... B. 154, 71, 8, 5, 2, ... C. 345, 346, 347, 348, 349, ... D. 12, 24, 36, 48, 56, ... E. 3, 10, 17, 24, 31, ...

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1a sequence that follows a pattern where you add the same number each time, or subtract the same number each time  is arithmetic sequence.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1For example: `1, 4, 7, 10, 13 ....` here you are adding 3 every time, and this is why it is an arithmetic sequience.  example #2: `6,  10, 26, 52,....` here you are subtracting 16 every time, and this is why it is an arithmetic sequience.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because it goes up by 7

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, and the common difference is 7 (you add 7, as you said  which is completely correct). Good job!

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1An alternating sequence is by definition not arithmetic, and thus must be excluded.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Hold on, there might be other options.....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0check all that apply

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Lets go in order. We know E is arithmetic (d=7) We know D is NOT arithmetic (because the sign alternates) yes, thre is more...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1can you name some?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1there is a third correct answer (so far E and C are correct)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So, A, C & E are sequences that are arithmetic:)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1D is NOT arithmetic, because the sign alternates.  B is obviously NOT arithmetic, because there is no [same] common difference. 154  71 \(\ne\) 71  8 \(\ne\) 8  5

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1the difference is NOT ALWAYS the same, so for this reason B is NOT arithmetic....

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Any questions about anything said in this post?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got one more question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A roll of paper towels is wound around a hollow cardboard tube. The cardboard tube in the middle of the roll has an outside radius of 2.4 cm. The thickness of the paper is 0.3 mm. The sequence of distances of the loops of paper away from the center of the roll (in centimeters) is the following: a1, a2, a3, a4, a5, & = 2.40, 2.43, 2.46, 2.49, 2.52, & What is the radius of the 85th loop of paper, starting from the center of the tube? A. 4.89 cm B. 4.92 cm C. 4.86 cm D. 4.95 cm

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1The distance of the loop of paper away from the center is the radius, right?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(a_1\) is the very first radius

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(a_2\) is the second radius

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and you need \(a_{85}\)  the 85th radius.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So, lets take a look at the given information.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{black}{a_1=2.40}\) \(\color{black}{a_2=2.43}\) \(\color{black}{a_3=2.46}\) \(\color{black}{a_4=2.49}\) \(\color{black}{a_5=2.52}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1What is the common difference here?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes, that is correct!

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I assume you have seen the following formula previously: \(\color{black}{\large a_n=a_1+{\rm d}\cdot (n1)}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.11) you have to find the 85th term, so you would plug in n=85. 2) you know the first term is 2.40 (so you plug in \(a_1=2.40\) 3) you know the common difference is 0.03 (so plug in d=0.03).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{black}{\large a_{85}=2.40+{\rm 0.03}\cdot (851)}\) \(\color{black}{\large a_{85}=?}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, that is right. And that means that your 85th radius is 4.92 centimeters.
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