Answer: the 92nd term of the arithmetic sequence 739
Step-by-step explanation:
In an arithmetic sequence, consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 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 = 11
d = 19 - 11 = 8
n = 92
We want to determine the value of the 92nd term, a92. Therefore,
a92 = 11 + (92 - 1)8
a92 = 11 + 728
a92 = 739