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AVprozaik [17]
3 years ago
10

What is the 8th term of the following geometric sequence? 3, 15, 75, 375, …

Mathematics
1 answer:
alexira [117]3 years ago
3 0

a_1=3\\a_2=3\cdot5=15\\a_3=15\cdot5=75\\a_4=75\cdot5=375\\\vdots\\\\\text{The general term of a geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=3,\ r=5\\\\\text{substitute}\\\\a_n=3(5^{n-1})\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=3(5^{8-1})=3(5^7)=3(78125)=234,375\\\\Answer:\ 8th\ term=234,375

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Oduvanchick [21]

Expression as a single natural logarithm is 2.48490664979.

<h3>What is natural logarithm?</h3>

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The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

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To learn more about natural logarithm from the given link:

brainly.com/question/20785664

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5 0
1 year ago
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3 0
3 years ago
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harina [27]

Answer:

Step-by-step explanation:

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3 years ago
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andre [41]

Answer:

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4 0
3 years ago
Read 2 more answers
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