Find the nth term of the G.P.7,49,343,.......
Answer:
7n
- 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=arn−1 - Here, the first term, a=7
The common ratio, r=ak+1ak where k≥1
⟹r=a1+1a1=a2a1=497=7 - Now, we need to find the nth term of the G.P.,i.e.an.
an=arn−1⟹an=7(7)n−1⟹an=71+n−1⟹an=7n - Hence, the nth term of the given G.P. is 7n.