SOLUTION: THE 2ND AND 7TH TERM OF A G.P ARE 18 AND 4374 RESPECTIVELY. FIND THE 1) COMMON DIFFERENCE 2) FIRST TERM 3) SUM OF THE 4TH AND 8TH TERM 4) SUM OF THE FIRST 10 TERMS

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Question 1210345: THE 2ND AND 7TH TERM OF A G.P ARE 18 AND 4374 RESPECTIVELY. FIND THE
1) COMMON DIFFERENCE
2) FIRST TERM
3) SUM OF THE 4TH AND 8TH TERM
4) SUM OF THE FIRST 10 TERMS
Found 5 solutions by josgarithmetic, Edwin McCravy, mccravyedwin, ikleyn, AnlytcPhil:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
What kind of pattern is this? "A G P ARE..."?
Geometric Progression? Why you ask for "COMMON DIFFERENCE"?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
I'll assume the student meant

THE 2ND AND 7TH TERM OF A G.P ARE 18 AND 4374 RESPECTIVELY. FIND THE 
1) COMMON RATIO 
2) FIRST TERM 
3) SUM OF THE 4TH AND 8TH TERM
4) SUM OF THE FIRST 10 TERMS

1) COMMON RATIO 





Divide the second equation term-by-term by the first equation.









2) FIRST TERM 






3) SUM OF THE 4TH AND 8TH TERM

Using 



 



4) SUM OF THE FIRST 10 TERMS





Edwin
Answer by mccravyedwin(406)   (Show Source): You can put this solution on YOUR website!
Now I'll assume the student meant

THE 2ND AND 7TH TERM OF AN A.P ARE 18 AND 4374 RESPECTIVELY. FIND THE 
1) COMMON DIFFERENCE 
2) FIRST TERM 
3) SUM OF THE 4TH AND 8TH TERM
4) SUM OF THE FIRST 10 TERMS

I'll use 

1) COMMON DIFFERENCE 





Subtract the first equation term-by-term from the second equation.









2) FIRST TERM 







3) SUM OF THE 4TH AND 8TH TERM

Using 



 



4) SUM OF THE FIRST 10 TERMS









Edwin
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

To avoid misunderstanding, here is my correction to the post by Edwin,
where he placed his solution for Geometric progression.


His last formula in his post should be

= = = 6*29524 = 177144.


////////////////////////////////


As  I  see from the  Edwin's post  (as  @AnlytcPhil),  Edwin did not get the meaning of my correction.

The meaning is not in placing parentheses.

The meaning is that  I  changed  ' 10-1 '  in the denominator by  ' 3-1 ',
and then changed  ' 9 '  in the denominator by  ' 2 '  to make the numbers consistent.



Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!

Ikleyn says:

To avoid misunderstanding, here is my correction to the post by Edwin, 
where he placed his solution for Geometric progression.
His last formula in his post should be


 =  =  = 6*29524 = 177144.

And if you'll notice, that's exactly what I had



Parentheses are not necessary.

Edwin