SOLUTION: Given {{{a^2+a+1=0}}}, find the value of {{{a^1881 + a^1882 + a^1883 + ...}}} up to {{{a^1889}}}

Algebra.Com
Question 888744: Given , find the value of up to
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
If ,then , and
, and
.
Since
then


RELATED QUESTIONS

Please help me solve this problem: Two presidential candidates havde a total of 1882... (answered by checkley77)
You find 8 coins in an old desk drawer, consisting entirely of nickels, dimes, and... (answered by solver91311)
You find 6 coins in an old desk drawer, consisting entirely of nickels, dimes, and... (answered by josmiceli)
This is from Activity Bank, INTEGRATED MATHEMATICS 1 Copyright by Houghton Mifflin... (answered by Earlsdon)
Type in only your numerical answer to the following problem; do not type any words or... (answered by Tobiasz)
for the given value of a, find -a and |a| (answered by drk)
Given the function f:x (maps to) 6x-2/x, x>0. Find the value of: a.)f^-1(-1)... (answered by longjonsilver)
Find the exact value under the given conditions. cos a = 1/3 , 0 < a < pi/2. sin b=... (answered by lwsshak3)
Two posts that hold up a sign are parallel. M<2=69 use the given measurements to find... (answered by Alan3354)