Final answer:
The 94th term of the arithmetic sequence is found by using the formula for the nth term of an arithmetic sequence, and by plugging in the given values and performing the calculation, the 94th term is determined to be -1049.
Step-by-step explanation:
The 94th term of the arithmetic sequence -26, -37, -48 can be found using the formula for the nth term of an arithmetic sequence, which is:
an = a1 + (n - 1)d
Where:
- a1 is the first term of the sequence.
- d is the common difference between the terms.
- n is the term number.
Here, a1 = -26 and we can calculate the common difference d by subtracting the first term from the second term: d = -37 - (-26) = -11.
To find the 94th term, we substitute a1, d, and n into the formula:
a94 = -26 + (94 - 1)(-11)
a94 = -26 + (93)(-11)
a94 = -26 - 1023
a94 = -1049
The 94th term of the sequence is -1049.