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Let a1,a2,a3,...be an arithmetic sequence. If (a4)/(a2)=3, what is a5/a3

 Mar 30, 2020
 #1
avatar+659 
+1

Hello BIGChungus!  I like your name!
 

Plan:

For arithmetic problems, I like using variables.

 

First term = x

Common difference = y

 

We can define an arithmetic sequence this way:

 

x + (x + y) + (x + 2y) + (x + 3y)....

Set up and solve:

(1) a4a2=x+3yx+y=3

 

(2) a5a3=x+4yx+2y=?

 

Let us get rid of the fraction in (1) by multiplying both sides by (x+y)

x + 3y = 3x + 3y

-2x = 0

x = 0

 

Wow! The first term is 0.

 

Let us plug that into (2).

0+4y0+2y

 

Simplify

4y2y=2

 

Ta-da! Mathz! cheeky

 Mar 30, 2020
 #2
avatar+152 
0

thx man and I love my name to XD

 Mar 30, 2020

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