Answer: the 57 the term is - 909
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 13
d = - 29 - - 13 = - 45 - - 29 = - 16
n = 57
We want to determine the value of the 57th term, T57. Therefore,
T57 = - 13 - 16(57 - 1)
T57 = - 13 - 896
T57 = - 909
