Grade 12Algebra
n>1 is an integar. the largest m, such that n^m +1 divides 1+n+n^2+n^3+.......+n^127,isa)127 b)63 c)64 d)32
n>1 is an integar. the largest m, such that n^m +1 divides 1+n+n^2+n^3+.......+n^127,is
a)127 b)63 c)64 d)32
1 Answer
SHAIK AASIF AHAMED
Hello student,
Please find the answer to your question below
Given series is 1+n+n^2+n^3+.......+n^127
as it is in GP with common ratio n and a=1
We get the sum as=(n128-1)/(n-1)
=(n64+1)(n64-1)/(n-1)
So the largest m in nm+1 which divides the above given expression is 64.
Please find the answer to your question below
Given series is 1+n+n^2+n^3+.......+n^127
as it is in GP with common ratio n and a=1
We get the sum as=(n128-1)/(n-1)
=(n64+1)(n64-1)/(n-1)
So the largest m in nm+1 which divides the above given expression is 64.
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago