An arithmetic progression has first term $10$ and common difference $- 3$ . Find the sum of the first 12 terms.

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An arithmetic progression has first term $5$ and common difference $4$ . Find the sum of the first 20 terms.
An arithmetic progression has first term $3$ and common difference $7$ . Find the sum of the first 15 terms.
An arithmetic progression has first term $2$ and common difference $5$ . Find the sum of the first 25 terms.
An arithmetic progression has first term $8$ and common difference $6$ . Find the sum of the first 18 terms.
An arithmetic progression has first term $- 4$ and common difference $3$ . Find the sum of the first 30 terms.
A geometric progression has first term $12$ and common ratio $\frac{1}{2}$ . Find the sum to infinity.