anonymous
  • anonymous
Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688 and select the correct answer below. 152,915 16,384 16,377 152,908
Algebra
schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
have you seen this: \(\large\color{black}{ \displaystyle a_n=a_1\times{\rm r}^{n-1} }\) ?
SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle a_n=a_1\times{\rm r}^{n-1} }\) your number of terms is 8 \(\large\color{black}{ \displaystyle a_8=a_1\times{\rm r}^{8-1} }\) for 8th term. \(\large\color{black}{ \displaystyle a_8=a_1\times{\rm r}^{7} }\) now plug in 8th term and 1st term to find the common ratio. \(\large\color{black}{ \displaystyle 114688=7\times{\rm r}^{7} }\)
SolomonZelman
  • SolomonZelman
can you fsolve for common ratio (r) ?

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SolomonZelman
  • SolomonZelman
don't be silent.... because i can't "talk to a mute".
SolomonZelman
  • SolomonZelman
with a mute*

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