The recursive formula for a geometric sequence is an=an−1×r , where r is the common ratio.
What is a recursive formula?
A recursive formula is a formula that defines each term in a sequence using the previous terms. Recursive formulas must always specify the initial term(s) of the sequence.
What is the formula for geometric sequences?
The general formula of the nth term of a geometric sequence is: an=a1⋅rn−1, where a1=first term and r=common ratio.
What does a recursive formula look like?
A recursive formula is written in two parts: a statement of the first term accompanied by a statement of the formula connecting successive terms. Order: {10, 15, 20, 25, 30, 35, …}. Find a recursive formula. This example is an arithmetic progression (the same number, 5, is added to each term to get to the next term).
How do you write an equation for the nth term of a geometric progression?
On Babylonian tablets from 2100 BC. Geometric progressions have been found. Arithmetic progressions were first mentioned in the Ahmes Papyrus of 1550 BC. found. …Nevertheless, in ancient times, one was considered much more geometric than the other, hence the names.