Ocr mathematics b - Study guides, Class notes & Summaries

2 © OCR 2023 H230/02 Jun23 x 2 2 Formulae AS Level Mathematics A (H230) Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n-rh! Differentiation from first principles fl^xh = lim f^x+hh-f^xh h "0 h Standard deviation / x 2 / fx2 = n -x 2 or = / f -x 2 The binomial distribution If X ~ B^n, ph then P^X = xh = c n mp x^1-ph n-x , mean of X is np, variance of X is np^1 ...

OCR 2023 GCE FURTHER MATHEMATICS B MEI Y436/01: FURTHER PURE WITH TECHNOLOGY A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

OCR 2023 GCE FURTHER MATHEMATICS B MEI Y436/01: FURTHER PURE WITH TECHNOLOGY A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

2 © OCR 2023 H240/03 Jun23 ^ h = n+1 2 n 2 2 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1, n e Rh Differentiation f x fl x...

2 © OCR 2023 H240/02 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1,n e Rh Differentiati...