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Part 1
Find the 110th term of the following sequence.
8 comma 16 comma 24 comma ...
To find the 110th term of the sequence, we can see that the terms increase by 8 each time.
The formula for finding the nth term of an arithmetic sequence is:
an = a1 + (n-1)d
Where:
an = the nth term
a1 = the first term
n = the term number
d = the common difference
In this case, the first term (a1) is 8 and the common difference (d) is 8.
Plugging in the values:
a110 = 8 + (110-1)8
a110 = 8 + 109(8)
a110 = 8 + 872
a110 = 880
Therefore, the 110th term of the sequence is 880.