a) Prepare Pascal's triangle for the expansion of binomials up to the 5th power.-b) Use Pascal's triangle to expand (3+2.x)2x)*-c) Find the coefficient of x in(1–3x)"--d) What sum of money must be invested at a guaranteed rate of 4% per year for it to accumulate to the sum of £50,000 in 10 years’ time using:-i) simple interest added annually-ii) compound interest added annually-e) An A.P. has 15½ as its 6th term and 20½ as its 8th term. Calculate:-i) the common difference-ii) the first term-iii) the sum of the second 12 terms (i.e. terms 13 to 24)

Linear Algebra(Mathematics)

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