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Find the sum to infinity of the Geometric Progression fraction numerator negative 5 over denominator 4 end fraction comma 5 over 16 comma fraction numerator negative 5 over denominator 64 end fraction comma....

Asked by Topperlearning User 26th September 2017, 8:59 AM
Answered by Expert
Answer:

begin mathsize 12px style straight a equals fraction numerator negative 5 over denominator 4 end fraction
straight r equals fraction numerator negative 1 over denominator 4 end fraction
straight S subscript infinity equals fraction numerator straight a over denominator 1 minus straight r end fraction equals fraction numerator begin display style fraction numerator negative 5 over denominator 4 end fraction end style over denominator 1 plus begin display style 1 fourth end style end fraction equals negative 1 end style

Answered by Expert 26th September 2017, 10:59 AM
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