Lilmike234
  • Lilmike234
What is the value of a fourth term in a geometric sequence for which a1=10 and r=.5
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
\(\LARGE a_n=a_1\times {\rm r}^{\rm n -1}\)
SolomonZelman
  • SolomonZelman
this is for any geometric sequence.
SolomonZelman
  • SolomonZelman
Now, for the fourth term of any geometric sequence it will read: \(\LARGE a_4=a_1\times {\rm r}^{\rm 4 -1}\) \(\LARGE a_4=a_1\times {\rm r}^{3}\)

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SolomonZelman
  • SolomonZelman
knowing your a1=10, and r=5, plug that into: \(\LARGE a_4=a_1\times {\rm r}^{3}\) and then calculate the \(a_4\).
Lilmike234
  • Lilmike234
So the answer would be 1250?
SolomonZelman
  • SolomonZelman
lets see \(a_4=10\times 5^3\) \(a_4=10\times 125\) \(a_4=1250\) yes, your answer is correct:)
Lilmike234
  • Lilmike234
The answer was 1.25...

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