# How do you write the first five terms of the geometric sequence a_1=1, r=e?

Jan 19, 2018

First five term of the geometric sequnce is
$\left\{1 , 2.718 , 7.389 , 20.086 , 54.598\right\}$

#### Explanation:

a_1=1 ,r=e = 2.7182818 ;n th term is ${a}_{n} = {a}_{1} \cdot {r}^{n - 1}$

$\therefore {a}_{2} = 1 \cdot {e}^{2 - 1} = e \approx 2.7182818$ similarly ,

$\therefore {a}_{3} = 1 \cdot {e}^{3 - 1} = {e}^{2} \approx 7.389 \left(3 \mathrm{dp}\right)$

$\therefore {a}_{4} = 1 \cdot {e}^{3 - 1} = {e}^{3} \approx 20.086 \left(3 \mathrm{dp}\right)$

$\therefore {a}_{5} = 1 \cdot {e}^{5 - 1} = {e}^{4} \approx 54.598 \left(3 \mathrm{dp}\right)$

First five term of the geometric sequnce is

$\left\{1 , 2.718 , 7.389 , 20.086 , 54.598\right\}$ [Ans]