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wolverine [178]
3 years ago
12

2. Consider the sequence –8, 4, -2, 1, -1/2, …

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0
–8, 4, -2, 1, -1/2, …is geometric sequence since te ratio between each number & its precedent is equal to -1/2:

(-8) x (-1/2) = 4
(-2) x (-1/2) = 1 & so on and so forth
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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
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The Geometric Sequence Formula:

a_n=a_1r^{n-1}

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Substitute:

a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n

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What is the value of x in the following system y=3x-5 6x+3y=15​
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