anonymous
  • anonymous
What is the sum of the first five terms of the geometric sequence in which a1=3 and r=1/3????????
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathmale
  • mathmale
There's a formula for that. Hint: if you were to add up an infinite number of terms of this geometric sequence, the sum of all of those terms would be S= a /(1-r), where a is the first term of your sequence and r is the common multiple. The formula for the sum of the first n terms resembles this formula for S, but is slightly different. Do you have access to a reference that might list that formula?
anonymous
  • anonymous
No
anonymous
  • anonymous
Is it 5/1-1/3

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anonymous
  • anonymous
@mathmale
mathmale
  • mathmale
Please look up the following: http://www.purplemath.com/modules/series5.htm this article presents a formula for finding the first n terms of a geometric sequence. Once again, the sum of an infinite (very large) number of terms of a geom. seq. is \[S=\frac{ a }{ 1-r }\] so this gives you a clue regarding what to look for. Would you please take a look at that web page?
mathmale
  • mathmale
Please note that a (the first term) and r (the common ratio) are given, and that you are to find the sum of the first 5 terms of this geom. sequence.
mathmale
  • mathmale
What is the first term? type it in here, please.
anonymous
  • anonymous
So s5
anonymous
  • anonymous
The first term is 3
anonymous
  • anonymous
S5=3/1-1/3
anonymous
  • anonymous
Is that correct @mathmale

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