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In an arithmetic sequence, the 23rd term is $\frac{1}{4},$ and the $33$rd term is $-\frac{1}{5}$. What is the $43$rd term?

 May 10, 2024
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1/4   +  10d  =  -1/5

 

10d =  -1/5 - 1/4  =   -9/20

 

d =  -9/200

 

43rd  term =   -1/5  + 10d  =  -1/5 + 10 (-9/200)  =  -1/5 - 9/20  =  -65/100 = -13 / 20

 

cool cool cool

 May 10, 2024

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