Answer:
see explanation
Step-by-step explanation:
(a) (i)
a₁ = 17
a₂ = 17 - 3 = 14
a₃ = 14 - 3 = 11
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(ii)
a₁ = 3
a₂ = 5(3) + 2 = 15 + 2 = 17
a₃ = 5(17) + 2 = 85 + 2 = 87
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(b)
There is a common difference d between consecutive terms , that is
d = 11 - 6 = 16 - 11 = 21 - 16 = 5
Thus indicates the sequence is arithmetic with n th term given by
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 5 , thus
[tex]a_{n}[/tex] = 6 + 5(n - 1) = 6 + 5n - 5 = 5n + 1
