Task 1.1

By applying the formulae for Arithmetic Progression to the arithmetic sequence: 1, 10, 19 .......

a) Calculate the 6^th term

b) Calculate the 10^th term

c) Find the sum of the first 10 terms.

Task 1.2

By applying the formulae for geometrical progression to the geometric sequence: 1, 4 , 16 .......

a) Calculate the 6^th term

b) Calculate the 10^th term

c) Find the sum of the first 10 terms.

Task 2.1

Use the Pascal's triangle toexpand(3+ 2x)⁶

Task 2.2

Use the ratio test for the convergence of a power series to determine whether the following series is convergent or divergent.

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