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Veronika [31]
2 years ago
5

Find the 15th term of the geometric sequence 180, 90, 45,...

Mathematics
1 answer:
denis23 [38]2 years ago
7 0

Answer:

\frac{45}{4096}

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

a_n=a_1*q^{n-1};

3) according to the formula 15th term is:

a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}

or ≈0.011.

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\end{cases}\\\\
-----------------------------\\\\
\textit{using the disc method}
\\\\
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\bf \textit{now, let us check the double angle identities}
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\begin{cases}
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-----------------------------

\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
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\\\\\\
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and surely, you'd know how to get the values for the bounds there

5 0
3 years ago
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4 0
2 years ago
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8 0
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S_A_V [24]
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7 0
3 years ago
URGENT NEED HELP FAST LINKS WILL BE REPORTED
dolphi86 [110]

Answer:

model B is shaded to represent 37.5%

here,

=3÷8×100%

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7 0
3 years ago
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