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Gnom [1K]
3 years ago
15

9x9 = 81 9 18 27 36 45 54 63 72 81

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Answer:

81 is the answer

Step-by-step explanation:

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What is a formula for the nth term of the given sequence? 48, 72, 108​
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Answer:

a_n=48*1.5^{n-1}

Step-by-step explanation:

<u>Geometric Sequence</u>

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

r=\frac{72}{48}=1.5

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

a_n=a_1*r^{n-1}

Where a1=48 and r=1.5

\boxed{a_n=48*1.5^{n-1}}

For example, to find the 5th term:

a_5=48*1.5^{5-1}=48*1.5^{4}=243

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