+0  
 
0
431
1
avatar

The sum of the first eight terms of a particular arithmetic sequence is three times the sum of the first four terms of the sequence. What is the ratio of the first term to the second term? Express your answer as a common fraction.

 Jan 20, 2015

Best Answer 

 #1
avatar+128731 
+5

So...we need to find "d"

The sum of the first n terms of an arithmetic series is given by:

S = (n/2)[a1 + a1 + d(n-1) ]   .... so we have

(8/2)[a1 + a1 +d(8 - 1)]  = 3* (4/2) [ a1 + a1 + d(4 - 1) ]

4 [2a1 + d(7)] = 6 [ 2a1 + d(3) ]

8a1 + 28d = 12a1 + 18d

10d = 4a1

d = (4/10)a1 = (2/5)a1

 

I'm not overly sure about this one....but I'll submit it for review/criticism....!!!

 Jan 20, 2015
 #1
avatar+128731 
+5
Best Answer

So...we need to find "d"

The sum of the first n terms of an arithmetic series is given by:

S = (n/2)[a1 + a1 + d(n-1) ]   .... so we have

(8/2)[a1 + a1 +d(8 - 1)]  = 3* (4/2) [ a1 + a1 + d(4 - 1) ]

4 [2a1 + d(7)] = 6 [ 2a1 + d(3) ]

8a1 + 28d = 12a1 + 18d

10d = 4a1

d = (4/10)a1 = (2/5)a1

 

I'm not overly sure about this one....but I'll submit it for review/criticism....!!!

CPhill Jan 20, 2015

4 Online Users

avatar
avatar