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):
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