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Helga [31]
3 years ago
9

Determine whether the sequence is arithmetic if so what’s the common difference -9 -33-57-81

Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

Arithmetic.

Common Difference: -24

Step-by-step explanation:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.

For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.

For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.

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Answer:

Sabemos que:

MH(x, y) = \frac{2xy}{x+y}

y tenemos que:

MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

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Vikentia [17]
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Step-by-step explanation:

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