Find the sixth term of the sequence 1/2,3/8,9/32...
2 answers:
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Answer:
The common difference d is d = -3
The recursive formula is:
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is:
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type:
We have found common difference d = -3
So, the recursive formula will be:
The recursive formula is: