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The fifth term of an arithmetic sequence is 18, and the sum of the first 32 terms is \(1448\). Find the ninth term.

 Jan 16, 2022
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sum =1448= 32/ 2 ( a1 + a32)

     a1 + a32 = 90.5

 

a1 = 18 - 4d       a 32 = 18 + 27d

 

18-4d    +   18 + 27d = 90.5

d = 2.3695652

 

18 + 4d = a9 = 27.478

 Jan 16, 2022

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