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Degger [83]
3 years ago
15

Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the neares

t tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.

The explicit rule for the geometric sequence is an
Mathematics
2 answers:
kow [346]3 years ago
8 0

Answer:

Hence the explicit rule is a(n) 1184.625 *(2/3)^n.

castortr0y [4]3 years ago
7 0

Step-by-step explanation:

Geometric sequences are of the form a * b^x, where a and b are real constants.

We have a * b⁴ = 234 and a * b⁶ = 104.

Dividing the second equation by the first,

we get b² = 4/9, so b = 2/3.

When x = 4, a * b⁴ = 234.

=> a * (2/3)⁴ = 234, a = 1184.625

Hence the explicit rule

is a(n) = 1184.625 * (2/3)^n.

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B28%20%7D%20%20%2B%20%20%5Csqrt%7B343%7D%20%20%5Cdiv%202%20%5Csqrt%7B63%20%7D%20"
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Answer:

Step-by-step explanation:

sqrt(28): sqrt(4*7)

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Note: the rule is if you have 3 equal primes under the root sign, you leave one, you throw one away, and you put one outside the root sign.

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9sqrt(7)

======

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