SOLUTION: If the second and fifth terms of an G.P are 6 and 48 respectively, find the 10th term of the G.P

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Question 1204372: If the second and fifth terms of an G.P are 6 and 48 respectively, find the 10th term of the G.P
Found 3 solutions by Edwin McCravy, mananth, MathLover1:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
If the second and fifth terms of an G.P. are 6 and 48 respectively, 
find the 10th term of the G.P.

a1, a2=6, a3=6r, a4=48/r, a5=48, a6, a7, a8, a9, a10=??

Since ,












Edwin
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
If the second and fifth terms of an G.P are 6 and 48 respectively, find the 10th term of the G.P
nth. term of GP = an = ar^(n-1)
a5 = 48 - a^(5-1)
-> 48 = ar^4---------------(1)
Similarly
a2 = 6= a^(2-1)
ar =6------------------------(2)
divide (2) by(1)
48/6 = ar^4/ar
r^3=8
r=2
ar =6
but r=2
2a=6
a=3
a10 = ar^9
a10 = 3*2*9 =1536
10th term of the geometric progression is 1536.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


th term of G.P is



Given that,





.....eq.1



.....eq.2

from eq.1 and eq.2 we have

....simplify



then
.....eq.1


your th term equation is

now find th term





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