The recursive formula for given sequence is: 
And the terms will be expressed as:

Step-by-step explanation:
First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio
Given sequence is:
11,4,-3,-10,-17...
Here

As the common difference is same, given sequence is an arithmetic sequence.
A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference
So, the recursive formula for an arithmetic sequence is given by:

Hence,
The recursive formula for given sequence is: 
And the terms will be expressed as:

Keywords: arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
Option D is the correct answer
Step-by-step explanation:
![\huge {k}^{ \frac{2}{9} } = ( \sqrt[9]{ {k}}) ^{2} \\](https://tex.z-dn.net/?f=%20%5Chuge%20%7Bk%7D%5E%7B%20%5Cfrac%7B2%7D%7B9%7D%20%7D%20%20%3D%20%28%20%5Csqrt%5B9%5D%7B%20%7Bk%7D%7D%29%20%5E%7B2%7D%20%20%5C%5C%20)
- (1 + 7x) - 6(- 7 - x) = 36
- 1 - 7x + 42 + 6x = 36
41 - x = 36
- x = - 5
x = 5
Answer:
-23
Step-by-step explanation:
Each term is 6 less than the past term. Hopw this helps!