Question 3

[20]

a) The third and eighth terms of an AP are 470 and 380 respectively. Find the

first term and the common difference. Hint: write expressions for us and usand

solve simultaneously

[5]

b) Find the sum to 5 terms of the geometric progression whose first term is 54

and fourth term is 2.

[5]

c) Find the second term of a geometric progression whose third term is and

sixth term is -16

[5]

d) Find the sum to n terms of an arithmetic progression whose fourth and fifth

terms are 13 and 15.

[5]