How do you write the first five terms of the geometric sequence a_1=5, r=2x?

1 Answer
Alan P.
Sep 27, 2017

5, 10x, 20x^2,40x^3,80x^4

Explanation:

Given
color(white)("XXX")a_1=5
By definition of geometric sequence
color(white)("XXX")a_n=a_(n-1)xxr
Therefore
color(white)("XXX")a_2=a_1xxr=5xx2x=10x

color(white)("XXX")a_3=a_2xxr=10xx2x=20x^2

color(white)("XXX")a_4=a_3xxr=20x^2xx2x=40x^3

color(white)("XXX")a_5=a_4xxr=40x^3xx2x=80x^4

Related questions
See all questions in Geometric Sequences
Impact of this question
2897 views around the world
You can reuse this answer
Creative Commons License