The terms are as follows:
t₃ = -62
t₇ = -29.6
tₙ = 10.8n - 105.2
t₁₄ = 46
t₁₉ = 100
Therefore,
tₙ = a + (n - 1)d
where
Hence,
46 = a + 13d
100 = a + 18d
5d = 54
d = 10.8
46 - 13(10.8) = a
a = 46 - 140.4
a = - 94.4
t₃ = a + 3d = - 94.4 + 3(10.8) = -62
t₇ = a + 6d = - 94.4 + 6(10.8) = -29.6
tₙ = -94.4 + 10.8n - 10.8 = 10.8n - 105.2
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