Evaluate `sum 2^i`, where `i= 2, 3, 4...10`.

Evaluate sum2^(i) , where i=2, 3, 4, … , 10 .

Evaluate (4+5i)(2-3i)

Evaluate : sum_(i=1)^18 (2^i +3^(i-1)) .

If A=[{:(,2,-1),(,-1, 3):}]" evaluate "A^2-3A+3I , where I is a unit matrix of order 2.

Evaluate (2+3i)(4-5i).

Find the sum ( i + i^(2) + i^(3) + i^(4) +..... up to 400 terms).

Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms.

Find the sum of the following APs : (i) 2,7,12 ,..., to 10 terms.

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (4i^8 - 3i^9 + 3) / (3i^11 - 4i^10 - 2)

Find he value of sum_(r=1)^(4n+7)\ i^r where, i=sqrt(- 1).