+0  
 
0
69
2
avatar

The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

 Mar 27, 2020
 #1
avatar+111321 
+1

We  have  that

 

a32  = a5  + common difference * [ 32 - 5]

 

-84  = 9  + common difference * [ 27]        subtract  9 from both sides

 

-93 = common difference * [27]              divide  both sides  by 27

 

-93/27 =  common difference   = -31/9   

 

a23  =  a5  + (-31/9) (23 - 5)

 

a23  =  9  + (-31/9) (18) 

 

a23 =  9  - 62

 

a23 = -53

 

 

cool cool cool

 Mar 27, 2020
 #2
avatar+1956 
+1

Nice!!

CalTheGreat  Mar 27, 2020

13 Online Users

avatar
avatar
avatar
avatar