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ArbitrLikvidat [17]
3 years ago
14

Write an equation for the nth term of the geometric sequence 3584, 896, 224... Find the sixth term of this sequence

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

r = \frac{a_n}{a_{n-1}} = \frac{896}{3584} =  \frac{1}{4}

Using the geometric series formula for the <em>n</em>th term:

S_n = a \cdot \frac{1-r^n}{1-r} => S_{6} = 3584 \cdot \frac{1 - (\frac{1}{4})^{6} }{1 - \frac{1}{4} }  = 4777\frac{1}{2}

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