Calculate the sum to infinity of the geometric series $12 + 4 + \frac{4}{3} + \dots$ .

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Calculate the sum to infinity of the geometric series $20 + 5 + \frac{5}{4} + \dots$ .
Calculate the sum to infinity of the geometric series $10 + 2 + \frac{2}{5} + \dots$ .
Calculate the sum of the first 10 terms of the arithmetic series $8 + 12 + 16 + \dots$ .
The arithmetic sequence $5; 7; 9; \dots$ has the general term $T_{n} = a + (n - 1) d$ . What is $T_{25}$ ?
Calculate the sum to infinity of the geometric series $8 + 4 + 2 + \dots$ .
The arithmetic sequence $1; 8; 15; \dots$ has the general term $T_{n} = a + (n - 1) d$ . What is $T_{30}$ ?