Write the sum of the series `i+i^2+i^3+ddot` upto `1000` terms.

Write the sum of the series i+i^(2)+i^(3)+ upto 1000 terms.

Fill in the blanks of the following . (i) For any two complex numbers z_(1), z_(2) and any real numbers a, b, |az_(1) - bz_(2)|^(2) + |bz_(1) + az_(2)|^(2) =* * * (ii) The value of sqrt(-25) xxsqrt(-9) is … (iii) The number (1 - i)^(3)/(1 -i^(3)) is equal to ... (iv) The sum of the series i + i^(2) + i^(3)+ * * * upto 1000 terms us ... (v) Multiplicative inverse of 1 + i is ... (vi) If z_(1) "and" z_(2) are complex numbers such that z_(1) + z_(2) is a real number, then z_(1) = * * * (vii) arg(z) + arg barz "where", (barz ne 0) is ... (viii) If |z + 4| le 3, "then the greatest and least values of" |z + 1| are ... and ... (ix) If |(z - 2)/(z + 2)| =(pi)/(6) , then the locus of z is ... (x) If |z| = 4 "and arg" (z) = (5pi)/(6), then z = * * *

The sum of the series i+2i^(2)+3i^(3)+... up to 200 terms equals

Find the sum of the series 1+3x+5x^(2)+7x^(3)+...... upto n terms.

Find the sum of the following series: ( i ) 1,3,5,7... upto 12 terms.

Find the sum of the series upto 10 terms: 4+8+12+....

77.The sum of the series 1.3^(2)+2.5^(2)+3.7^(2)+.... upto 25 terms

Find the sum of the series 1*2*3+2*3*4+3*4*5+"...." " upto n terms " .

The sum of the series (2)^(2)+2(4)^(2)+3(6)^(2)+.... upto 10 terms is