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The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

 Jun 26, 2020
 #1
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From 5th to 32nd is 27 terms      27 of the common diference, d

 

From  9   to  -84   is  - 93   and is 27 of d     -93/27 = d

 

from 5th to 23rd = 18 terms    or   18 d's added to  9   

   9 + 18 (-93/27) = -53  

 
 Jun 26, 2020

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