find the 6th term of progression 5,2,4/5,8/25....
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5 , 2 , 4/5 , 8/25 , 16/625 , 256/390625 ,
65536/152,587,890,625.
6th term = 256/390625
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Answer:
Step-by-step explanation:
Given progression is a Geometric Progression.
Here,
a= first term =5
a2/a1=a3/a2=a4/A3=2/5
So,here r=common ratio=2/5.
nth term of a G.P=ar power n-1
Sixth term of the G.P = ar power 5
So,ar power 5=5×(2/5)^5
=5×2^5/5^5
=5×32/3125
=32/625.
Sixth term of the given G. P is 32/625.
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