The 437th term of arithmetic sequence is 36.
Step-by-step explanation:
First term = [tex]a_{1}[/tex]= -73
Common difference = d = [tex]\frac{1}{4}[/tex]
Term to find = 437th
Therefore,
n= 437
The formula for arithmetic sequence is;
[tex]a_{n}=a_{1}+(n-1)d\\[/tex]
Putting values;
[tex]a_{437}=-73+(437-1)(\frac{1}{4})\\a_{437}=-73+(436)(\frac{1}{4}\\a_{437}=-73+\frac{436}{4}\\a_{437}=-73+109\\a_{437}=36[/tex]
The 437th term of arithmetic sequence is 36.
Keywords: Arithmetic sequence, common difference
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