Simplify (9 ^ 2)/(9 ^ 7) PLS HELP!!!! WILL MARK BRAINLIEST!

Mathematics

1 answer:

Gre4nikov [31]2 years ago

5 0

Answer:

1/9^5

Step-by-step explanation:

Yeah you're correct, 9^2/9^7 = 1/9^(7-2).

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pantera1 [17]

Answer:

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3 years ago

Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

wolverine [178]

Answer:

$t_7 =\frac{5}{729}$

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) = $\frac{1}{3}$

The nth term of a geometric sequence is given as:

$t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}$