The value of `(i^5+i^6+i^7+i^8+i^9)/(1+i)` is (a) `1/2(1+i)` (b) `1/2(1-i)` (c) `1` (d) `1/2`

Explanation

To solve the expression \((i^5 + i^6 + i^7 + i^8 + i^9)/(1+i)\), we will first simplify the numerator by calculating the powers of \(i\).

### Step 1: Calculate the powers of \(i\)
The powers of \(i\) cycle every four terms:
- \(i^1 = i\)
- \(i^2 = -1\)
- \(i^3 = -i\)
- \(i^4 = 1\)
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