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serg [7]
3 years ago
15

Complete the recursive formula of the geometric sequence -1.5, 6, -24, 96,....

Mathematics
1 answer:
Orlov [11]3 years ago
8 0

The recursive formula for given sequence is:

a_n = a_{n-1} * (-4)

Step-by-step explanation:

Recursive formula is the formula that is used to get the next term in a sequence by using the previous term

Given sequence is:

-1.5, 6, -24, 96,....

First of all we have to find the common ratio

Here

a_1 = -1.5\\a_2 = 6\\a_3 = -24\\a_4 = 96\\So,\\r = \frac{a_2}{a_1} = \frac{6}{-1.5} = -4\\r = \frac{a_3}{a_2} = \frac{-24}{6} = -4

The recursive formula for a geometric sequence is given by:

a_n = a_{n-1}*r

Putting the value of r

a_n = a_{n-1} * -4

Hence,

The recursive formula for given sequence is:

a_n = a_{n-1} * (-4)

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/3059888
  • brainly.com/question/2880301

#LearnwithBrainly

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Step-by-step explanation:

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Answer:

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