anonymous
  • anonymous
Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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freckles
  • freckles
first identify the first term: this is -2 now identify your ratio (just a little more work): divide term by previous term
freckles
  • freckles
That is take any term and its very previous term and divide that term by its previous term
freckles
  • freckles
for example any of these will give your the common ratio: 8/-2 -32/8 128/-32 that is if this is indeed a geometric sequence which the instructions have identified it as one so all of those will be spit out the same number which is....

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anonymous
  • anonymous
-4
freckles
  • freckles
Now just put everything in \[a_n=\text{ first term} \cdot \text{ (common ratio)} ^{n-1}\]
anonymous
  • anonymous
a=-2(-4)^n-1?
freckles
  • freckles
yes the whole n-1 should be a part of the superscript though like this: a_n=-2(-4)^(n-1) or if I type in pretty latex: \[a_n=-2(-4)^{n-1}\]
anonymous
  • anonymous
thanks

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