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3 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

4 0

Pretty sure it’s the first one, if not maybe the last one! I hope that helps! :)

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Complete the recursive formula of the geometric sequence − 0.6 , 3 , − 15 , 75 , . . .

HACTEHA [7]

<h3> $a_n = -0.6 \times (-5)^{n - 1}$ is the recursive formula of the geometric sequence</h3>

Solution:

Given geometric sequence is:

-0.6, 3 , -15, 75

We have to frame the recursive formula

Find the common ratio

$r = \frac{3}{-0.6} = -5\\\\r = \frac{-15}{3} = -5\\\\r = \frac{75}{-15} = -5$

Thus common ratio is -5

The nth term of geometric sequence is given as:

$a_n = a \times r^{n-1}$

Where,

n is the nth term

a is the first term of sequence

r is common ratio

From sequence,

a = -0.6

r = -5

Therefore,

$a_n = -0.6 \times (-5)^{n - 1}$

Where, n = 1 , 2 , 3 , 4 , .....

Thus the recursive formula is found

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3 years ago

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