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

Find common ratio to be - 5/4

then x_{2 } (-5/4)^{14 }= -8 solve for x_{2}

The other answer is for a GEOMETRIC sequence

Here is answer for ARITHMETIC sequence

find the common difference 10 - - 8 = 18

x_{2} + ( -18)(14) = - 8

x_{2} = 244

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x2 + ( +18)(14) = - 8

x2 = -260