Question

Linear Algebra

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)


Answer

Verified

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