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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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