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

Explanation

To solve the given sums of the arithmetic progressions (AP), we will use the formulas for the nth term and the sum of the first n terms of an AP.

### (i) Find the sum of the series: \( 7 + 10 \frac{1}{2} + 14 + \ldots + 84 \)

1. **Identify the first term (A) and the common difference (D)**:
- The first term \( A = 7 \).
- Convert \( 10 \frac{1}{2} \) to an improper fraction:
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