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what is the recursive formula for the sequence 15 26 48. This is the form of a geometric sequence. List those in a column beside the numbers n1 through n5 n a n 1 15 2 26 3 48 4 92 5 180 Out beside each number write the difference between it and the number just below it.
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12 20 15 7 9 3 which number doesnt belong in the list. Khan Academy is a 501c3 nonprofit organization. Looking back at the listed sequence it can be seen that the 5th term a 5 found using the equation matches the listed sequence as expectedIt is also commonly desirable and simple to compute the sum of an arithmetic sequence using the following formula in combination with the previous formula to find a n.
15264892180---15 15111 26 26 211 48 48 411 92 92 811 180-----180 1611 356 Cheers Stan H.
N a n 1 15 11 2 26 22 3 48 44 4 92 88 5 180 Observe that those differences are all multiples of 11 n a n 1 15. For 22 For 2 2. This formula can also be defined as Arithmetic Sequence Recursive FormulaAs you can observe from the sequence itself it is an arithmetic sequence which includes the first term followed by other terms and a common difference d between each term is the number you add or subtract to them. This is the form of a geometric sequence.
