7. Describe how a geometric series is related to a geometric sequence. Use an example to model your answer. (2 marks)
Accepted Solution
A:
A geometric sequence is a sequence where the ratio r between successive terms is constant. A geometric series is the sum of the terms of a geometric sequence.
For example, we have a geometric sequence of 1, 4, 16, and 64 that has a ratio, r, of 4. If we turned this into a geometric series, it will become 1 + 4 + 16 + 64 = 85.