Answer:
the 36th term is 187.
Explanation:
To find the 36th term of a sequence, we need to know the rule that generates the sequence. Without that rule, we cannot find the 36th term.
However, if we assume that the sequence is an arithmetic sequence (meaning that there is a common difference between consecutive terms), we can use the given terms to find the common difference and then find the 36th term.
The common difference is found by subtracting the second term from the first term, or the third term from the second term.
Using the first and second terms, we get:
17 - 12 = 5
Using the second and third terms, we get:
22 - 17 = 5
Since both calculations give the same result, we can be confident that the common difference is 5.
Therefore, to find the 36th term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Using a1 = 12, d = 5, and n = 36, we get:
a36 = 12 + (36 - 1)5
a36 = 12 + 175
a36 = 187
So, if the sequence is an arithmetic sequence with a common difference of 5, then the 36th term is 187.