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Semenov [28]
3 years ago
6

The price of a stock decreased by $20\%$ in 2001, and then decreased by $20\%$ in 2002. What percent increase in 2003 will resto

re the price to its value at the beginning of 2001? Express your answer to the nearest hundredth.
Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0
2001—80/100 x
2002— 64/100 x
now we need to get x from 64/100 x
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variable is (<em> </em><em>x</em><em> </em><em>)</em>

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lorasvet [3.4K]

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Step-by-step explanation:

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poizon [28]

Answer:

a_n=9(4^{n-1})

Step-by-step explanation:

we know that

In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant, called the common ratio (r)

In this problem we have

a_2=36\\ a_5=2,304

Remember that

a_2=a_1(r) -----> 36=a_1(r) -----> equation A

a_5=a_4(r)

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Substitute the values of a_5 and a_2 and solve for r

2,304=36(r^{3})

r^{3}=2,304/36

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Find the value of a_1 in equation A

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a_1=9

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The explicit rule for the nth term is

a_n=a_1(r^{n-1})

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a_n=9(4^{n-1})

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Answer:

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