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Difference between each number is +2Therefore the sequence is 2n + C
When n = 1 the value is (2x1) + C = 2 + C = 5C = 36
nth term is 2n + 3
CHECK
3rd term should be...

 3 x² + 6 x + 3 = 0 . .../3 x² + 2 x + 1 = 0(x+1)²=0x+1=0x=-1PROOF3 (-1)² + 6 (-1) + 3 = 0

Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper...

53 x 6 = 318320-318 = 2There are not enough coaches for the amount of people. 2 people would not be on a coach. 7 coaches are needed to ensure everyone has a seat on a coach.

Completing the square refers to the process of rewriting a general quadratic expression into the form of a(x+b)² + c.For example we are asked ...