Is the answer correct in this question
2 answers:
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Given:
...(i)
For .
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
Now,
First term:
Common difference:
nth term of a GP is
Putting a=3 and r=2, we get
Therefore, the equation for the nth term is .