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The first and ninth terms of an arithmetic sequence are 2/3 and- 4/5, respectively. What is the fifth term?

 Dec 14, 2021
 #1
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The fifth erm is 3/8.

 Dec 14, 2021
 #2
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t1  =  2/3

 

t9  =  t1 + 8d     --->     -4/5  =  2/3 + 8d     --->     -22/15  =  8d     --->     d  =  -11/60

 

t5  =  t1 + 4d     --->     t5  =  2/3 + 4(-11/60)  =  -1/15  

 Dec 15, 2021

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