**Problem : **
What is the common ratio *r* in the geometric sequence .5, 1.5, 4.5, 13.5, 40.5,…?

**Problem : **
Define the geometric sequence *a*_{n} = 2×3^{(}*n* - 1) recursively.

**Problem : **
Define the geometric sequence *a*_{1} = 4; *a*_{n+1} = *a*_{n}
explicitly.

**Problem : **
What is 53×2^{(}*n* - 1)?

**Problem : **
What is the limit of the infinite series 2 + 1 + + + ^{ ... }?

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