Question

how do i find a recursively occuring geometrical sequence

Answer 1

If we looked at a sequence like bn = 1, 3, 9, 27, 81, 243, . . . this would not fit our definition of an arithmetic sequence. We are not adding the same number to each term. However, notice that we are multiplying each term by the same number (3) each time. When you multiply every term by the same number to get the next term in the sequence, you have a geometric sequence. Geometric sequences can also be written in recursive form. In this case, we would write . Remember that in the language of sequences we are saying, to find any term in the sequence (bn), multiply the previous term (bn-1) by 3.