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kramer
2 years ago
12

Please help :(( Simplify.

Mathematics
1 answer:
Luden [163]2 years ago
6 0

<em>so</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>6</em><em>a</em><em>^</em><em>2</em><em>0</em><em>b</em><em>^</em><em>2</em><em>4</em>

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>

<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em>

<em>G</em><em>ood</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

<em>~</em><em>p</em><em>r</em><em>a</em><em>g</em><em>y</em><em>a</em>

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

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2 years ago
Please help this is hard
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Answer:

10x-15y

Step-by-step explanation:

5(2x-3y)

10x-15y

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Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds
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Answer:

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Step-by-step explanation:

Alan takes 2 hr and 35 min = 2. 58... hr

Margot takes 147/64 hr = 2.296.. hr

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Answer:

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If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
makvit [3.9K]

Answer:

49, 49 , 98

Step-by-step explanation:

AC = AB + BC = 2AB

  • 3x - 31 = 2(x+6)
  • 3x - 31 = 2x + 12
  • 3x - 2x = 12 +31
  • x = 43

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98

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