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What is the average rate of change from n = 3 to n = 4 for the sequence a, = 1(2)n - 1?

1 Answer

13 votes

Answer:

Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2

Explanation:

For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7

These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:

For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5

For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2

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