Increasing the sample size by a factor of 4 or multiplying
it by 4 is equal to increasing the standard error by 1/2. Therefore, the
interval will be half as varied. This also works almost for population
averages as lengthy as the multiplier from the t-curve doesn't modify much when
increasing the sample size.
Given:
The given arithmetic sequence is:

To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,

Here, the first term is -3. So,
.
The common difference is:



The recursive formula of an arithmetic sequence is:

Where, d is the common difference.
Putting
, we get

Therefore, the recursive formula of the given arithmetic sequence is
, where
.