Answer: the 51st term of the arithmetic sequence is - 417
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 = - 17
d = - 25 - - 17 = - 33 - - 25 = - 8
n = 51
We want to determine the value of the 51st term, T51. Therefore,
T51 = - 17 + - 8(51 - 1)
T51 = - 17 - 400
T51 = - 417
