Final answer:
The nth term of the arithmetic sequence is described by the formula an = -29 + (n - 1)(17). Substituting n with 50, we find that the 50th term, a50, is equal to 804.
Step-by-step explanation:
To write an equation for the nth term of the arithmetic sequence, we need to identify the common difference and the first term. The sequence given is -29, -12, 5, 22,... The common difference (d) can be found by subtracting any term from the term that follows it, for example, -12 - (-29) = 17. The first term (a1) is -29. An arithmetic sequence can be described by the formula an = a1 + (n - 1)d. Substituting the values we have, we get:
an = -29 + (n - 1)(17)
To find the 50th term (a50), we plug 50 into our nth term formula:
a50 = -29 + (50 - 1)(17)
a50 = -29 + 49(17)
a50 = -29 + 833
a50 = 804
Therefore, the 50th term of the given arithmetic sequence is 804.