Answer:
Explanation:
a n =\ -7,93,193,...\
The sequence you provided, a_n = -7, 93, 193, ..., seems to be an arithmetic sequence. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term.
To find the common difference, we can subtract consecutive terms:
93 - (-7) = 93 + 7 = 100
193 - 93 = 100
From this, we can see that the common difference between terms in this sequence is 100.
To find the general formula for the nth term (a_n) of an arithmetic sequence, we can use the formula:
a_n = a_1 + (n - 1) * d
where a_1 represents the first term of the sequence, n represents the position of the term in the sequence, and d represents the common difference.
In this case, we have a_1 = -7 and d = 100. Plugging these values into the formula, we get:
a_n = -7 + (n - 1) * 100
So, the general formula for the nth term (a_n) of the sequence a_n = -7, 93, 193, ... is a_n = -7 + (n - 1) * 100.