The recursive formula for a geometric sequence is:
.
According to the statement
we have to find that the recursive formula for geometric sequence.
So, For this purpose, we know that the
Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.
And from the given information:
The third term in a geometric sequence is 96 and the sixth term is 6144.
it means
and the
we know that the there is a one ratio which is same in all the two nubers between them.
And that's why
The recursive formula for a geometric sequence with common ratio r is:
.
Hence, The recursive formula for a geometric sequence is:
.
Learn more about Geometric Progression here
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