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0:00 2:53 Recursive Formulas For Sequences - YouTube YouTube Start of suggested clip End of suggested clip Now if you want to find the third term it's three times the second term plus two the second term isMoreNow if you want to find the third term it's three times the second term plus two the second term is five three times five is fifteen plus two is seventeen. Now if we wanna find the fourth. Term.

2:09 7:17 Recursive Formulas How to Write - YouTube YouTube Start of suggested clip End of suggested clip Term that's what this a sub n minus one represents. And then you tell the person how do you get toMoreTerm that's what this a sub n minus one represents. And then you tell the person how do you get to the next term oh you just multiply by two okay so 160. And so on okay. The third example.

In this case, there is a common difference of 6 (each time, 6 is added to a number to get the next term). 6 is being added to an−1 , the previous term. To get the next term ( an−1 ), do an−1+6 . The recursive formula would be an=an−1+6 .

Answer and Explanation: We get that the recursive formula for the nth term of the sequence 2, 4, 7, 11, . . . is a n = a n − 1 + n , where a 1 = 2 .

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s). For example: The recursive formula of an arithmetic sequence is, an = an-1 + d. The recursive formula of a geometric sequence is, an = an-1r.

FAQs on Recursive Formula A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s). For example: The recursive formula of an arithmetic sequence is, an = an-1 + d. The recursive formula of a geometric sequence is, an = an-1r.

For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6. An arithmetic sequence can be known as an arithmetic progression. The difference between consecutive terms is an arithmetic sequence is always the same.