![]() And if I want a_19, I need to find a_18 and so on and so forth. Now, we can see that the first term is 2, so a_1= 2īut notice that the limitation of this approach is that if I want to find a_20, I have to find a_19. We find the common difference by subtracting successive terms and checking that adding this value does get us to the next number in the sequence. (Notice that this equation says, if I want a_4, I take a_3 and add d, which makes sense)įor example, consider the arithmetic sequence, The value of a_1 and an equation that tells us how to get to the next term. The recursive formula will consist of two parts.
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