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Anarel [89]
2 years ago
12

The third term in a geometric sequence is 96 and the sixth term is 6144

Mathematics
1 answer:
dexar [7]2 years ago
7 0

The recursive formula for a geometric sequence is:

a_{n} =r(a_{n} -1) , n\geq 2.

According to the statement

we have to find that the recursive formula for geometric sequence.

So, For this purpose, we know that the

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

And from the given information:

The third term in a geometric sequence is 96 and the sixth term is 6144.

it means

a_{3} = 96. and the a_{6} = 6144.

we know that the there is a one ratio which is same in all the two nubers between them.

And that's why

The recursive formula for a geometric sequence with common ratio r is:

a_{n} =r(a_{n} -1) , n\geq 2.

Hence, The recursive formula for a geometric sequence is:

a_{n} =r(a_{n} -1) , n\geq 2.

Learn more about Geometric Progression here

brainly.com/question/1509142

#SPJ9

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A.

\dfrac{6}{55}

B.

\dfrac{6}{55}

C.

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Step-by-step explanation:

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\dfrac{4}{10}

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\dfrac{4}{11}\cdot \dfrac{3}{10}\cdot \dfrac{2}{9}=\dfrac{24}{990}=\dfrac{4}{165}

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