The series is a geometric series with first term 1 and common ratio 7/10. The sum of an infinite geometric series with first term a and common ratio r (where |r| < 1) is given by:
sum = a/(1-r)
Plugging in the values of a and r for our series, we get:
sum = 1/(1-7/10) = 1/(3/10) = 10/3
Therefore, the sum of the infinite series 1+7/10+(7/10)^2+(7/10)^3+... is 10/3.
What is the sum of the infinity of series 1+7/10+(7/10)^2+(7/10)^3
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