(1) The missing term in the sequence, a₁₂ = 0.8.(2) The missing term in the sequence, a₈ = 102.5.(3) The missing term in the sequence, a₈ = 111.(4) The missing term in the sequence, a₁₂ = -19.(5) The missing term in the sequence, a₁₂ = 94.(6) The missing term in the sequence, a₆ = 40.(7) The missing term in the sequence, a₃₆ = -52.(8) The missing term in the sequence, a₂₁ = -58.Missing term of the sequenceThe missing term in the sequence is determined as follows;Tₙ = a + (n - 1)d1.0 a₄ = 18.4 and a₅ = 16.2, a₁₂ = ?T₄ = a + 3d18.4 = a + 3d ---(1)T₅ = a + 4d16.2 = a + 4d ---(2)subtract (1) from (2)-2.2 = d18.4 = a + 3(-2.2)a = 25a₁₂ = a + 11da₁₂ = 25 + 11(-2.2)a₁₂ = 0.82.0 a₂ = 57.5 and a₅ = 80, a₈ = ?a₂ = a + d57.5 = a + d -- (1)a₅ = a + 4d80 = a + 4d --- (2)solve (1) and (2)d = 7.5a = 50a₈ = a + 7da₈ = 50 + 7(7.5)a₈ = 102.53.0 a₁₀ = 141 and a₁₃ = 186, a₈ = ?a₁₀ = a + 9d141 = a + 9d --- (1) a₁₃ = a + 12d186 = a + 12d --- (2)Subtract (1) from (2)d = 15a = 6a₈ = a + 7da₈ = 6 + 7(15)a₈ = 1114.0 a₂₂ = -49 and a₂₅ = -58, a₁₂ = ?a₂₂ = a + 21d-49 = a + 21d ---- (1)a₂₅ = a + 24d-58 = a + 24d --- (2)subtract (1) from (2)d = -3a = 14a₁₂ = a + 11da₁₂ = 14 + 11(-3)a₁₂ = -195.0 a₄ = -2 and a₈ = 46, a₁₂ = ?a₄ = a + 3d-2 = a + 3d --- (1)a₈ = a + 7d46 = a + 7d ---- (2)Subtract (1) from (2)d = 12a = -38a₁₂ = a + 11da₁₂ = -38 + 11(12)a₁₂ = 946.0 a₉ = 64 and a₁₂ = 88, a₆ = ?a₉ = a + 8d64 = a + 8d --- (1)a₁₂ = a + 11d88 = a + 11d --- (2)Subtract (1) from (2)d = 8a = 0a₆ = a + 5da₆ = 0 + 5(8)a₆ = 407.0 a₂₀ = -4 and a₂₃ = -13, a₃₆ = ?a₂₀ = a + 19d-4 = a + 19d ---- (1)a₂₃ = a + 22d-13 = a + 22d --- (2)Subtract (1) from (2)d = -3a = 53a₃₆ = a + 35da₃₆ = 53 + 35(-3)a₃₆ = -528.0 a₂₈ = 5 and a₃₃ = 50, a₂₁ = ?a₂₈ = a + 27d5 = a + 27d ---- (1)a₃₃ = a + 32d 50 = a + 32d --- (2)Subtract (1) from (2)d = 9a = -238a₂₁ = a + 20da₂₁ = -238 + 20(9)a₂₁ = -58Learn more about arithmetic progression here: