Find the nth term of the G.P.7,49,343,.......


Answer:

7n

Step by Step Explanation:
  1. A geometric progression (G.P.) is of the form, a,ar,ar2,ar3,......, where a is called the first term and r is called the common ratio of the G.P.
    The nth term of a G.P. is given by, an=arn1
  2. Here, the first term, a=7
    The common ratio, r=ak+1ak where k1
    r=a1+1a1=a2a1=497=7
  3. Now, we need to find the nth term of the G.P.,i.e.an.
    an=arn1an=7(7)n1an=71+n1an=7n
  4. Hence, the nth term of the given G.P. is 7n.

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