Consider the series $8+1+\frac{1}{8}$8+1+18$\dots$…
Find the sum of the first $7$7 terms. Round your answer to three decimal places if necessary.
Use the sequence facility of your calculator to determine for which term number $n$n the geometric sequence $T_n=6\left(2.1^{n-1}\right)$Tn=6(2.1n−1) has a sum of $217.3146$217.3146.
Use the sequence facility of your calculator to determine for which term number $n$n the geometric sequence $T_n=800\left(0.9^{n-1}\right)$Tn=800(0.9n−1) has a sum of $4556.26232$4556.26232.
Consider the series $1+2+4$1+2+4 ...
Find the sum of the first $10$10 terms.