The first term is -103
Step-by-step explanation:
We will use the explicit formula for aithmetic sequence:
the explicit formula is given by:
[tex]a_n = a_1 + (n-1)d\\We\ know\ that\\d = 10\\a_{31} = 197[/tex]
Putting n=31 and d=10 in the formula
[tex]a_{31}=a_1+(31-1)(10)\\197 = a_1 +(30)(10)\\197 = a_1 + 300\\a_1 = 197-300\\a_1 = -103[/tex]
Hence,
The first term is -103
Keywords: Arithmetic sequence, Common difference
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