Answer:
To find a formula for the nth term of the given sequence, we can analyze the pattern and identify the relationship between the terms.
If we observe the numerator of each term, we can see that it follows the pattern 7, 10, 13, 16, 19, ... This is an arithmetic sequence with a common difference of 3.
If we examine the denominator of each term, we can see that it follows the pattern 1, 2, 6, 24, 120, ... This is not a common arithmetic sequence, but it can be described as a factorial sequence.
The nth term of a factorial sequence can be represented as n!, where n! denotes the factorial of n.
Combining these patterns, we can express the nth term of the given sequence as:
an = (3n + 4)/(n!)
Therefore, the formula for the nth term of the sequence is (3n + 4)/(n!).
Explanation:
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