Find the sums given below :
(i) `7+10 1/2+14+...+84`
(ii) `34+32+30+...+10`
(iii) `(-5)+(-8)+(-11)+...+( -230)`

Explanation

To find the sums of the given arithmetic progressions (AP), we will follow these steps for each part of the question.

### (i) Find the sum of the series: `7 + 10 1/2 + 14 + ... + 84`

1. **Identify the first term (A) and common difference (D)**:
- First term \( A = 7 \)
- Second term \( = 10 \frac{1}{2} = \frac{21}{2} \)
- Common difference \( D = \frac{21}{2} - 7 = \frac{21}{2} - \frac{14}{2} = \frac{7}{2} \)
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