Check whether the term 243 lies in G.P 1,3,9,27,...?
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1,3,9,27,81,243
it comes on sixth term
it comes on sixth term
Anonymous:
whats gp
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Hi ,
1 , 3 , 9 , 27 , .... is given G.P
first term = a = 1
Common ratio = r = a2 / a1
r = 3/1 = 3
Let n th term of the G.P = 243
ar^n -1 = 243
1 × 3^ n - 1 = 3^5
n - 1 = 5
[ If a^m = a^n then m = n ]
n = 5 + 1
n = 6
Therefore ,
6th term of given G . P = 243
I hope this helps you.
: )
1 , 3 , 9 , 27 , .... is given G.P
first term = a = 1
Common ratio = r = a2 / a1
r = 3/1 = 3
Let n th term of the G.P = 243
ar^n -1 = 243
1 × 3^ n - 1 = 3^5
n - 1 = 5
[ If a^m = a^n then m = n ]
n = 5 + 1
n = 6
Therefore ,
6th term of given G . P = 243
I hope this helps you.
: )
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