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dalvyx [7]
3 years ago
14

What is the explicit formula for this sequence?

Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

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Answer:

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Step-by-step explanation:

We are given that,

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The pendulum formula is given by, T = 2\pi \sqrt{\frac{L}{32}}, where T is the time taken and L is the length of the swing.

So, we have,

2.2= 2\pi \sqrt{\frac{L}{32}}

i.e. \frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}

i.e. (\frac{2.2}{2\pi})^{2}=\frac{L}{32}

i.e. L=32\times (\frac{2.2}{2\pi})^{2}

i.e. L=32\times \frac{4.84}{4 \pi^2}

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i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

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3 years ago
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alex41 [277]

\leadsto f( \rm x) =  - (x - 3)(x - 5)

\\  \\

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\\  \\

\leadsto f( \rm x) =   - {x}^{2}  + 8x  -  15 \\

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