Transcript • Manipulate polynomials • Expand brackets and collect like terms • Factorise expressions.

• Manipulate polynomials
• Expand brackets and collect
like terms
• Factorise expressions
21
Evaluate
 4  7r 
r 1
A salesman is paid commission of £10 per week for
each life insurance policy which he has sold.
Each week he sells one new policy so that he is paid
£10 commission in the first week, £20 in the second
week, £30 in the third week and so on.
Find his total commission in the first year of 52 weeks.
A sequence a1, a2, a3, . . . is defined by
a1 = 3,
an + 1 = 3an – 5,
.
(a)
n  1.
Find the value a2 and the value of a3.
5
(b)
Calculate the value of
a
r 1
r
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