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djverab [1.8K]
3 years ago
11

If 123 and x are in proportion find the value of x​

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

1:2=3:x

1/2=3/x

1×x=3×2

x=6

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Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

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Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

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Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

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