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ElenaW [278]
3 years ago
7

50,60,72 find the 8th term airthmetic and geometric sequence

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

a_{n} = ar^{n - 1}

In your case a = 50, r = 6/5 and n = 8

a_{8} = 50(6/5)^{8 - 1} \\          = 50(6/5)^{7} \\          =  50(279936/78125)\\          =   179.15904

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Step-by-step explanation:

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vazorg [7]
\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&3&r-4&t\\
downstrea&11&r+4&t
\end{array}\\\\\\ recall\implies d=rt\\\\
-----------------------------\\\\

\begin{cases}
3=(r-4)(t)
\\\\
11=(r+4)(t)\\
--------------\\
3=(r-4)(t)\to \frac{3}{r-4}=\boxed{t}\qquad thus
\\\\
11=(r+4)(t)\to 11=(r+4)\left(  \boxed{\frac{3}{r-4}}\right)
\end{cases}

solve for "r"
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Answer:

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Step-by-step explanation:

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Read 2 more answers
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