In an arithmetic sequence with a 1equals16 and dequals8, which term is 72?
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Part 1
The term 72 is the
enter your response hereth term of the sequence.
(Simplify your answer.)
To find the term, use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d
Given that a_1 = 16 and d = 8, plug these values into the formula:
a_n = 16 + (n-1)8
To find the value of n when a_n = 72, set up the equation:
72 = 16 + (n-1)8
Solve for n:
56 = (n-1)8
7 = n - 1
n = 8
Therefore, the term 72 is the 8th term of the sequence.