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marissa [1.9K]
3 years ago
11

Please help a friend out will give brainilest

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

Let the missing value be x.

Therefore,

6 \frac{1}{2}  - 1 \frac{x}{16}  = 4 \frac{7}{8}  \\  \\  \frac{6 \times 2 + 1}{2}  -  \frac{16  \times 1 + x}{16}  =  \frac{4 \times 8 + 7}{8}  \\  \\  \frac{13}{2}  -  \frac{16 + x}{16}  =  \frac{39}{8}  \\  \\ \frac{13 \times 8}{2 \times 8}  -  \frac{16 + x}{16}  =  \frac{39 \times 2}{8 \times 2}  \\  \\  \frac{104}{16}  -  \frac{16 + x}{16}  =  \frac{78}{16}  \\  \\  \frac{104 - 16 - x}{16}  =  \frac{78}{16}  \\  \\ 88 - x = 78 \\  \\ 88 - 78 = x \\  \\ x = 10

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The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = ne
storchak [24]

Answer:

Common ratio, r=-3

Recursive Formula

f(n)=-3f(n-1),$   $n\geq 2\\f(1)=-\dfrac{1}{9},

Step-by-step explanation:

The formula for the geometric sequence: -\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots is given as:

f(x)=-\dfrac{1}{9}(-3)^{x-1}

<u>Common Ratio</u>

Dividing the next terms by the previous terms, we obtain:

\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3

Therefore, the common ratio of the sequence, r=-3

<u>Recursive Formula</u>

We observe that the next term, f(n) is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

f(n)=-3f(n-1),$   $n\geq 2\\f(1)=-\dfrac{1}{9},

3 0
3 years ago
2 Points<br> Evaluate 5 – (4 + 2)2
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Answer:

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Step-by-step explanation:

5 - (4 + 2)^2 = -31

6 0
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