Which term of the G.P. 4,64,1024,....G.P. 4,64,1024,....G.P. 4,64,1024,.... upto nnn terms is 262144?262144?262144?


Answer:

5th5th5th

Step by Step Explanation:
  1. A geometric progression (G.P.)(G.P.)(G.P.) is of the form, a,ar,ar2,ar3,......,a,ar,ar2,ar3,......,a,ar,ar2,ar3,......, where aaa is called the first term and rrr is called the common ratio of the G.P.G.P.G.P.
    The nthnthnth term of a G.P.G.P.G.P. is given by, an=arn1an=arn1an=arn1
  2. Let 262144262144262144 be the nthnthnth term of the given G.P.,G.P.,G.P., so, we need to find the value of n.n.n.
    Here, the first term, a=4a=4a=4
    The common ratio, r=ak+1akr=ak+1akr=ak+1ak where k1k1k1
    r=a1+1a1=a2a1=644=16r=a1+1a1=a2a1=644=16r=a1+1a1=a2a1=644=16
  3. Now, [Math Processing Error]
  4. Hence, the 5th5th term of the given G.P.G.P. is 262144262144.

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