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Question Number 66439 by Rio Michael last updated on 15/Aug/19

for a geometric series.  can the sun to infinty use the two formulas  S_∞ = (a/(1−r))  ∣r∣  <1  and S_∞  = (a/(r−1)) ∣r∣ > 1 ?? please i am getting confused on this.

forageometricseries.canthesuntoinfintyusethetwoformulasS=a1rr<1andS=ar1r>1??pleaseiamgettingconfusedonthis.

Commented by JDamian last updated on 15/Aug/19

The sum when  n→∞  and  r>1  is ±∞

Thesumwhennandr>1is±

Commented by Rio Michael last updated on 15/Aug/19

so it can be used? i mean the second formula

soitcanbeused?imeanthesecondformula

Commented by Kunal12588 last updated on 15/Aug/19

when the series is converging those formulas  can be used

whentheseriesisconvergingthoseformulascanbeused

Commented by Rio Michael last updated on 15/Aug/19

thanks

thanks

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