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how to find the general formula for a geometric sequence. The formula for the sum of the first. The general form of the sequence is a 1 a 1 r 2 a 1 r 3 a 1 r 4 a 1 r n 1We dont always want to write out the entire sequence all the time so instead of writing everything out 5 10 20 40 80 160 we can use a much shorter formula.
The general geometric sequence can be expressed as. The general formula to find the nth term is. Given the first several terms of a geometric sequence write its recursive formula.
The general form of the sequence is a 1 a 1 r 2 a 1 r 3 a 1 r 4 a 1 r n 1We dont always want to write out the entire sequence all the time so instead of writing everything out 5 10 20 40 80 160 we can use a much shorter formula.
Therefore lets first find what the nth term is and then move on to the details of its evaluation with different examples. And the 10th term is. X 4 10 3 4-1 10 3 3 10 27 270. Just follow these steps.