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3 years ago

Need help with geometric sequence quick 30 points!!!!

Mathematics

1 answer:

hram777 [196]3 years ago

7 0

The explicit formula for given geometric sequence is:

$a_n = 6 . 5^{n-1}$

Step-by-step explanation:

Given geometric sequence is:

6,30,150,750....

First of all we will find the common ratio.

Common ratio is the ratio between two consecutive terms of a geometric sequence

In the given sequence

a1 = 6

a2 = 30

a3 = 150

a4 = 750

Now

$r=\frac{a_2}{a_1} = \frac{30}{6} = 5\\r=\frac{a_3}{a_2} = \frac{150}{30} = 5$

The explicit formula for geometric sequence is:

$a_n = a_1 . r^{n-1}$

Putting the values of a1 and r

$a_n = 6 . 5^{n-1}$

Keywords: Geometric sequence

Learn more about geometric sequence at:

#LearnwithBrainly

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