In an arithmetic sequence with a 1equals16 and dequals8​, which term is 72​?

Question

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Part 1
The term 72 is the
  
enter your response hereth term of the sequence.
​(Simplify your​ answer.)

Answer 1

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.