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lesya [120]
4 years ago
11

Anet said that the common difference in the sequence below is -2. Is she correct? Justify your answer using complete sentences a

nd proper grammar.
1, -2, 4, -8....







A new fitness center opened up with 24 clients. Each week they are signing up an average of 5 new members. The business owner wrote the explicit formula for this situation as being A(n) = 24 + (n - 1)(5). Is this correct for this situation? Justify your answer using complete sentences and proper grammar.
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Mathematics
1 answer:
ollegr [7]4 years ago
5 0
The given sequence is
1, -2, 4, -8, ...., 
Multiply the 1st term by -2 to obtain     1*(-2) = -2   (the 2nd term)
Multiply the 2nd term by -2 to obtain -2*(-2) = 4    (the 3rd term)
Multiply the 3rd term by -2 to obtain  -2*(4) = -8  (the 4th term)
Answer:
Anet is incorrect.
This is a geometric sequence with a common ratio of -2.

Initial size = 24 (This is the 1st term in the sequence)
2nd term = 24 +5 = 24 + (2-1)*5
3rd term =  24 + 5 + 5 = 24 +(3-1)*5
By induction, the n-th term is
A(n) = 24 + (n-1)*5
Answer:
The given formula is correct.
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2m+3+4m+5 advice and correct solution
Hunter-Best [27]
Hey there!

On this problem, we have to combine like terms. A like term in this sense doesn't have to have the same coefficient, but it has to have the same variable.

Our like terms are 2m and 4m, along with 3 and 5.

When we add 2m and 4m we get 6m, and when we add 5 and 3 we get eight.
Notice how 5 and three are like terms because they're both whole numbers and don't have any variables.

Your solution is 6m + 8.

My advice to you is pay attention to your like terms and don't mix them up. A strategy is to underline like terms in the same color.

Hope this helps!
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3 years ago
If the surface area of the rectangular prism is 224 cm 2, what is the height?
ira [324]

Answer:

12 cm

Step-by-step explanation:

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2 years ago
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See the Answer!!!

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