Which term of the GP 5,10,20,40,....... is 5120?
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refer to picture please
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In the given GP a = 5
r = 10/5 = 2
an = 5120
so according to the formula of nth term of the gp
an = ar^(n-1)
5120 = 5*2^(n-1)
1024 = 2^(n-1)
2^10 = 2^(n-1)
On comparing both sides base is so the power should be same
so,
10 = n-1
n = 11
so the 11th term of the gp is 5120.
:-)
r = 10/5 = 2
an = 5120
so according to the formula of nth term of the gp
an = ar^(n-1)
5120 = 5*2^(n-1)
1024 = 2^(n-1)
2^10 = 2^(n-1)
On comparing both sides base is so the power should be same
so,
10 = n-1
n = 11
so the 11th term of the gp is 5120.
:-)
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