anonymous
  • anonymous
what is the sum of the geometric sequence -4, 24, -144... if there are 7 terms?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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primeralph
  • primeralph
@Jhannybean Please do this.
ivettef365
  • ivettef365
those are multiple of -6
Jhannybean
  • Jhannybean
formula for finding the sum of a geometric sequence is \[\large a\left ( \frac{1-r^{n}}{1-r} \right )\]\[\large {n= 7 \\r = -6\\ a = -4 }\] your "a" is the first term present, your ratio is found by dividing the preceding term by previous term, and your "n" is the number of terms you want to find in your sequence. \[r = \frac{24}{-4} = -6 \ , \ \frac{-144}{24} = -6 \, \ ...\]plugging these values in. \[\large -4 \left ( \frac{1-(-6)^{7}}{1-(-6)}\right )\]\[\large -4 \left ( \frac{279937}{7} \right )=-159964\]

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anonymous
  • anonymous
thank you very much!
Jhannybean
  • Jhannybean
Do you understand how it is found? it is a lot different than finding sums of geometric series.
Jhannybean
  • Jhannybean
Not sure if you've learned those yet...

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