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The ninth and tenth terms of an arithmetic sequence are 1/4 and -1/3, respectively. What is the second term?

 May 1, 2021
 #1
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The common difference is    -1/3 - 1/4   =  -7/12

 

We need to evaluate this

 

-1/3  + (7/12) ( 10 - 2)

 

-1/3  + (7/12) ( 8)

 

-1/3  +  56/12

 

-1/3  +  14/3  =

 

13 / 3   =  the  second term

 

cool cool cool

 May 1, 2021

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