3 years ago

I need help on this one too

Mathematics

2 answers:

zysi [14]3 years ago

6 0

Answer:

C.. is the answer.........

siniylev [52]3 years ago

4 0

It’s A c does not make sense

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Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c

olya-2409 [2.1K]

Answer:

$f(n)=64(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

$r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}$

$r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}$

$r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}$

It is a geometric series because it has a common ratio $r_1=r_2=r_3=\dfrac{1}{4}$ .

First term is 64.

The explicit formula of a geometric series is

$f(n)=ar^{n-1}$

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

$f(n)=64(\frac{1}{4})^{n-1}$

Therefore, the required explicit formula is $f(n)=64(\frac{1}{4})^{n-1}$ .

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Step-by-step explanation:

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Step-by-step explanation:

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