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so I'm given a **geometric series** where \({t_1 = 6}\) and \({r = 1.5}\), where \({t_1}\) is the first term and \({r}\) is the common ratio.

i want to use the formula \(S_n = {t_1 ( 1 - r^{n}) \over 1 - r}\) where \({S_n}\) is the sum of the first \({n}\) terms and \({n}\) is the number of terms.

I want to find the sum for the first 10 terms. i plugged my numbers in and got the textbook answer of \({679.98}\) by doing bedmas on my calculator since there were big numbers.

the text also wants me to express my answer as an exact value in fraction form, how should i do that? the textbook answer is \({174 075 \over 256}\)

Guest Jul 6, 2018

edited by
Guest
Jul 6, 2018

edited by Guest Jul 6, 2018

edited by Guest Jul 6, 2018