Question

Please help with questions 1d and e

Answer 1

(d) $\frac{75}{2}$, $\frac{75}{4}$, $\frac{75}{8}$

(e) 68, 82, 96

(d) note that the terms have a common ratio ( r )

r = $\frac{300}{600}$ = $\frac{150}{300}$ = $\frac{1}{2}$

to obtain any term in the sequence, multiply the previous term by $\frac{1}{2}$

75 × $\frac{1}{2}$ = $\frac{75}{2}$

$\frac{75}{2}$× $\frac{1}{2}$ = $\frac{75}{4}$

$\frac{75}{4}$ × $\frac{1}{2}$ = $\frac{75}{8}$

(e) note that the terms have a common difference (d )

d = 26 - 12 = 40 - 26 = 54 - 40 = 14

to obtain any term in the sequence, add 14 to the previous term

54 + 14 = 68

68 + 14 = 82

82 + 14 = 96