How do you write the first five terms of the geometric sequence $a_{1} = 1, r = e$ $a_1=1, r=e$ ?

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Answer 1 · 2018-01-19T12:31:08

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

$a_{1} = 1, r = e = 2.7182818; n$ $a_1=1 ,r=e = 2.7182818 ;n$ th term is $a_{n} = a_{1} \cdot r^{n - 1}$ $a_n= a_1*r^(n-1)$

$:. a_2= 1*e^(2-1) = e ~~ 2.7182818$ similarly ,

$:. a_3= 1*e^(3-1) = e^2 ~~7.389(3dp)$

$:. a_4= 1*e^(3-1) = e^3 ~~ 20.086(3dp)$

$:. a_5= 1*e^(5-1) = e^4~~ 54.598 (3dp)$

First five term of the geometric sequnce is

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

How do you write the first five terms of the geometric sequence a_1=1, r=ea1=1,r=ea_1=1, r=e?