How do you determine whether each sequence could be geometric, arithmetic, or neither. Use a patte to write the next three terms. 460, 46, 4.6, 0.46?
If a, b, c are in arithmetic sequence then:
This is known as the common difference
If a, b, c are in geometric sequence then:
This is known as the common ratio
From given sequence:
The nth term of a geometric sequence is given by:
We need to find the next 3 terms. i.e. 5th 6th and 7th.
We can see from the pattern, that as the sequence progresses each number is 10 times smaller than the previous number.