The 31st term of the given sequence will be 129.
What is an arithmetic sequence?
An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
[tex]T_n = a + (n-1)d[/tex]
Given sequence;
309, 303, 297,...
The first term, a1 = 309
The common difference, d = 303 - 309 = -6
The 31st term will be
n = 31
[tex]T_n = a + (n-1)d[/tex]
[tex]T_{31} = 309 + (31-1)(-6)\\\\T_{31} = 309 + (30)(-6)\\\\T_{31} = 309 + (-180)\\\\T_{31} = 129[/tex]
Hence, The 31st term of the given sequence will be 129.
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