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4 years ago

Find the 15th term of the geometric sequence 9, 18, 36,...

Mathematics

1 answer:

KonstantinChe [14]4 years ago

5 0

Answer:

147,456‬

Step-by-step explanation:

Geometric sequence: 9, 18, 36

Common ratio = r = 18/9 = 2

First term : a_1 = 9

Nth term : a_n = a_1 * r^(n - 1)

a_n = 9 * (2)^(n -1)

We want a_15, the 15th term

a_15 = 9*2^(15 -1)

a_15 = 9*2^14 = 9*16,384 = 147,456‬

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3 years ago

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4 years ago

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

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3 years ago

Find the 15th term of the geometric sequence 9, 18, 36,...​

Find the 15th term of the geometric sequence 9, 18, 36,...