The formula1+r +r2 ++rn =rn+1 1 r 1is true for all real
Chapter 5, Problem 5.255(choose chapter or problem)
The formula1+r +r2 ++rn =rn+1 1 r 1is true for all real numbers r except r =1 and for all integers n 0. Use this fact to solve each of the following problems: a. If i is an integer and i 1, nd a formula for the expression 1+2+22 ++2i1.b. If n is an integer and n 1, nd a formula for the expression 3n1 +3n2 ++32 +3+1.c. If n is an integer and n 2, nd a formula for the expression 2n +2n23+2n33++223+23+3d. If n is an integer and n 1, nd a formula for the expression 2n 2n1 +2n2 2n3 ++(1)n12+(1)n.
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