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23 = a + 3b
U₇ = 38
38 = a + 6b
Eliminasikan persamaan :
a + 3b = 23
a + 6b = 38 -
-3b = -15
b = 5
Substitusikan ke salah satu persamaan :
a + 3b = 23
a + 15 = 23
a = 8
Maka, U₄₀ :
Un = a + ( n - 1 ) b
U₄₀ = 8 + ( 40 - 1 ) 5
U₄₀ = 8 + 39 × 5
U₄₀ = 8 + 195
U₄₀ = 203
Jadi, suku ke 40 adalah 203.