Question 1:
It is given that four consecutive terms of a sequence are 50, 45, x and y. State the value of
(a) y – x if the sequence is an arithmetic progression,
(b) y/x if the sequence is a geometric progression.
[2 marks]
Solution:
(a)It is given that four consecutive terms of a sequence are 50, 45, x and y. State the value of
(a) y – x if the sequence is an arithmetic progression,
(b) y/x if the sequence is a geometric progression.
[2 marks]
Solution:
$$ \begin{aligned} & y-x=45-50 \\ & y-x=-5 \end{aligned} $$
(b)
$$ \begin{aligned} & \frac{y}{x}=\frac{45}{50} \\ & \frac{y}{x}=\frac{9}{10} \end{aligned} $$