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

Sagot :

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

[tex]a_{n} = ar^{n - 1}[/tex]

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

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

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