Determine Sn for the geometric series? f(1)=2, r=-2, n=12
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"How to prove this ?
#2|k^2# then #2|k# for some #k\inZZ#"
1 Answer
Jun 21, 2018
Explanation:
#"the sum to n terms of a geometric sequence is"#
#•color(white)(x)S_n=(a(r^n-1))/(r-1)#
#"where a is the first term and r the common ratio"#
#"here "a=2,r=-2" and "n=12#
#S_(12)=(2((-2)^(12)-1))/(12-1)#
#color(white)(xxxxxx)=(2(4096-1))/11=8190/11#