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the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1)4 = 4n - 2. the sum to...
Analyse the sequence to find the second order difference.10 13 20 31 46 75 3 7 11 15 19 4 4 4 4
Subsitute y for 5 to give 9x - (3 * 5) = 97 - 5xCalculate the brackets 9x - 15 = 97 - 5xAdd 15 to both sides 9x = 112 - 5xAdd 5x to both sides 14x = 112Divide both sides by 14 x = 8
First, you regroup all numbers which are not factors of x on one side of the equation: 4x = 1 - 3.5so 4x = - 2.5Then, you isolate x: x = - 2.5/4x = - 5/8 = - 0.625
This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14...
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