SOLUTION: The sum of the first n terms of the Arithmetic Progression 13, 16.5 , 20 is the same as the sum of the first n terms of the Arithmetic progression 3 , 7 , 11 .calculate n.

Question 823499: The sum of the first n terms of the Arithmetic Progression 13, 16.5 , 20 is the same as the sum of the first n terms of the Arithmetic progression 3 , 7 , 11 .calculate n.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

The sum of the first n terms of the Arithmetic Progression  13, 16.5 , 20  

is the same as the sum of the first n terms of the Arithmetic progression 3, 7, 11   

calculate n.



 |Multiplying thru by 2/n



       26 + 3.5n - 3.5 = 3 + 4n - 4

         26  - 3.5 +1= .5n

                 23.5 = .5n 

                     n = 47  

   CHECKING our answer***

 

 

      

 

RELATED QUESTIONS

The first term of an arithmetic progression is 12 and the sum of the first 16 terms is... (answered by greenestamps)
the sum of the first n terms of the arithmetic progression 5,10,15... is 275 .how many... (answered by rothauserc)
Prove that a sequence is arithmetic 
Q: The sum of the first n terms of a progression is  (answered by richard1234)
The first term of an arithmetic progression is 8. The sum of the first 10 terms of this... (answered by Edwin McCravy)
Given the first four terms and the number of terms in the series, what is the sum of the... (answered by Boreal,ikleyn)
find the sum of the first n terms of the given arithmetic series
a1=-13,a7=20.8... (answered by stanbon)
The sum of the first two terms of an arithmetic progression is 23. The sum of
the last... (answered by greenestamps,ikleyn)
The nth term of an Arithmetic Progression (A.P) is given by Un = 4n^2-5n.Find the sum of... (answered by ikleyn)
find the sum of the first n terms of the arithmetic series
-10+(-5)+0+5+10 n=19
 (answered by ikleyn)