Answer:
4n +2
Explanation:
You want to know the number of sticks in pattern n, given that there are 6 in the first pattern, 10 in the second pattern, 14 in the third pattern.
Sequence
The sequence of the number of sticks is 6, 10, 14. These numbers have a common difference of 4 and a first value of 6. The formula for the n-th number of the sequence is ...
an = a1 + d(n -1)
an = 6 + 4(n -1)
This can be simplified to ...
an = 6 +4n -4
an = 4n +2
There will be 4n+2 sticks in pattern n.
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Additional comment
The generic formula for the n-th term of an arithmetic sequence is shown above. Apparently, your answer checker doesn't like that form for this sequence, so you need to rearrange the expression to a form that it likes.
Essentially, the expressions 6+4(n-1) and 4n+2 are the same thing.
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