2. Consider the sequence {1,22,43,64,85,…}. Find n if an = 2332. Show all steps including the formulas used to calculate your answer.

n = 112

Step-by-step explanation:

an = a1 + (n - 1)*d

d = 43 - 22 = 21    Try another one to confirm

d = 85 - 64 = 21

d = 21                    So we have an arithmetic sequence.

a1 = 1

an = 2332

2332 = 1 + (n - 1)*21          Subtract 1 from both sides

2332 - 1 = (n - 1)*21

2331 = (n - 1)*21                Divide by 21

2331/21 = n - 1                

111 = n - 1                          Add 1 to both sides

112 = n

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step-by-step explanation:

1/4 because there is 4 grades.