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

 Apr 11, 2022
 #1
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Find common ratio to be   - 5/4

 

then     x2  (-5/4)14  = -8     solve for x2

 Apr 11, 2022
 #2
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The other answer is for a GEOMETRIC sequence

 

Here is answer for ARITHMETIC sequence

 

find the common difference     10 - - 8  = 18

 

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

x2 = 244

 Apr 11, 2022
 #3
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*** EDITED ***

 

The other answer is for a GEOMETRIC sequence

 

Here is answer for ARITHMETIC sequence

 

find the common difference     10 - - 8  = 18

 

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

x2 = -260

Guest Apr 11, 2022

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