r = 5k + 5u
r - 5u = 5k
k = r/5 - u
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23 + 5u = 17Subtract 17 23 from both sides:5u = -6Divide both sides by 5:u = -6/5
Do you mean 5u-10 = u+46? If so then:- 5u-10 = u+46 5u-u = 46+10 4u = 56 u = 14
24uv + 35u2 - 30u3 - 28v = 24uv - 28v - 30u3 + 35u2 = 4v*(6u - 7) - 5u2(6u - 7) = (4v - 5u2)*(6u - 7)
There are an infinite number of possible answers - there are an infinite number of formulae that can be found to give t{1..5} = {12, 59, 294, 1469, 7344} which will give different values for t8. eg: t{n} = (376n⁴ - 3384n³ + 11186n² - 15369n + 7227)/3 gives t{1..5} = {12, 59, 294, 1469, 7344}, and t8 = 135889. t{n} = (-4929n⁵ + 76943n⁴ - 446037n³ +1198513n² -1473498n + 649296)/24 also gives t{1..5} = {12, 59, 294, 1469, 7344}, but t8 = -381656. However, the solution your teacher is probably expecting is based on the fact that: U1 = 12 U{n} = 5U{n-1} - 1 for n ≥ 2 This leads to: t1 = 12 t{n} = 12 + 47 × 5ⁿ⁻² for n ≥ 2 → t8 = 917969