Question:medium

If \[ \sum_{n=1}^{10}(i^n+i^{n+1}+i^{n+2}) = x+iy, \] then $2x+3y=$

Show Hint

Always exploit the period 4 cycle of powers of $i$: \[ i,\,-1,\,-i,\,1. \] Large summations become very short calculations.
Updated On: Jun 17, 2026
  • 1
  • $-5$
  • $5i$
  • $-i$
Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?
0

Top Questions on Complex numbers

Questions Asked in TS EAMCET exam