Pregunta
Find
from a geometric sequence where the first
term is -5 and r is 3 .
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term is -5 and r is 3 .
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Ask by Ford Huang. in the United States
Jan 17,2025
Solución de inteligencia artificial de Upstudy
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The 8th term of the geometric sequence is -10,935.
Solución

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Como
The Deep Dive
To find
in a geometric sequence, we can use the formula for the
-th term, which is given by
. Here,
and
. Plugging in these values for
:
Calculating
, we get:
So,
.
If you ever find yourself confused about geometric sequences, just remember that the first term sets the stage, while the common ratio is your spotlight—amplifying each term like a dramatic performance! Each term is a multiplication of the previous one, making it a thrilling ride through numbers!
For practical uses, geometric sequences pop up everywhere—from calculating compound interest in finance to predicting population growth! Whenever you encounter situations involving exponential changes, think of a geometric sequence dancing its way through—they’re like the “rock stars” of math, effortlessly multiplying their way to success!

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