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The sixteenth and seventeenth terms of an arithmetic sequence are 8 and 10, respectively. What is the second term?

 Apr 16, 2020
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The common difference is 2.

The formula for the nth term of an arithmetic sequence:  tn  =  t1 + (n - 1)d

The 16th term is 8   --->   n = 16   --->   8  =  t1 + (16 -1)(2)

                                                              8  =  t1 + (15)(2)

                                                               8  =  t1 + 30

--->   t1  =  -22

--->   t2  =  -22 + 2  =  -20

 Apr 16, 2020

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