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irina1246 [14]
3 years ago
13

Determine whether each sequence is arithmetic or geometric. Find the next three terms.

Mathematics
1 answer:
damaskus [11]3 years ago
4 0
You don't know your terms I suppose.

Arithmetic: goes from one term to the next by adding or subtracting the same amount
Ex. 3,12,21,30,39 (d=9)
(d means difference, use this for arithmetic sequences)

Geometric: goes from one term to the next by multiplying or dividing by the same amount
Ex. 1,2,4,8,16,32,64,128 (r=2) (r means ratio, its just the number multiplied or divided each time)

Answer is c
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A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
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Answer: ab =6

have:

\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

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because a and b are postive integers => (b - 1) and (1 - a) also are integers

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because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

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Klio2033 [76]

Answer:

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Step-by-step explanation:

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---- = -----

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Using cross products

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