How do you write the first five terms of the geometric sequence a_1=2, r=x/4?

Jun 6, 2017

$2 , \frac{x}{2} , {x}^{2} / 8 , {x}^{3} / 32 , {x}^{4} / 128$

Explanation:

multiply the previous term by the common ratio$\text{ } r$

${a}_{1} = 2$

${a}_{2} = {a}_{1} \times \frac{x}{4} = 2 \times \frac{x}{4} = \frac{x}{2}$

${a}_{3} = \frac{x}{2} \times \frac{x}{4} = {x}^{2} / 8$

${a}_{4} = {x}^{2} / 8 \times \frac{x}{4} = {x}^{3} / 32$

${a}_{5} = {x}^{3} / 32 \times \frac{x}{4} = {x}^{4} / 128$