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Marrrta [24]
4 years ago
14

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 0
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.

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6 0
3 years ago
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