Asked by Rebecca
Find the sum of the following series:
1024 - 512 + 256 - 128 +...+ 1
So a = 1024, r = -0.5, but I need to know what n is in order to use the formula.
So I tried ar^(n-1) which is:
1024(-0.5)^n-1 = 1
but I don't know how to find n from there.
Thanks in advance for any help :)
1024 - 512 + 256 - 128 +...+ 1
So a = 1024, r = -0.5, but I need to know what n is in order to use the formula.
So I tried ar^(n-1) which is:
1024(-0.5)^n-1 = 1
but I don't know how to find n from there.
Thanks in advance for any help :)
Answers
Answered by
bobpursley
S = ar * (1 - r^n) / (1 - r)
what is n?
well, take a term 1, double it until you get to 1024
1*2^n=1024
1,2,4,8,16,32,64,128,256,512,1024
what is n?
well, take a term 1, double it until you get to 1024
1*2^n=1024
1,2,4,8,16,32,64,128,256,512,1024
Answered by
Rebecca
Thanks
Although that method works for this question, is there another method that I could use if the method you have used above takes too long if n is a bigger number?
Although that method works for this question, is there another method that I could use if the method you have used above takes too long if n is a bigger number?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.