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

1 Answer
Jan 19, 2018

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

Explanation:

#a_1=1 ,r=e = 2.7182818 ;n# th term is #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]