Arkeminisamalp Arkeminisamalp
  • 24-04-2017
  • Mathematics
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How to find the first term in an infinite geometric series?

Respuesta :

sharmaenderp
sharmaenderp sharmaenderp
  • 26-04-2017
First, we must check if the geometric series presented has an infinite sum by making sure that the common ratio, r, meets the condition that | r | < 1.

If so, to find the first term, a, we must recall that the sum of an infinite geometric series can be expressed as 

[tex] S = \frac{a}{(1 - r)} [/tex]

Thus, rearranging this, we have

[tex] a = S(1 - r) [/tex]

Therefore, to find the first term of an infinite geometric series, we must multiply the sum and the to (1 - r).

Answer: a = S(1 - r)

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