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Q: What is the explicit formula for the sequence 3 1-1-3-5?
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What is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference between terms in the sequence is 3?

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How many inches and feet is 1135 millimeters?

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How do you find the nth term in a sequence?

Finding the nth term is much simpler than it seems. For example, say you had the sequence: 1,4,7,10,13,16 Sequence 1 First we find the difference between the numbers. 1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16 The difference is the same: 3. So the start of are formula will be 3n. If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2 But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be: 3n+1 Test it out, it works!


What is the nth term of 7-10-13-16-19?

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How do you find the explicit formula to the sequence 2 12 32 62?

There are infinitely many polynomials of order 4 that will give these as the first four numbers and any one of these could be "the" explicit formula. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. For example, t(n) = (-17*n^4 + 170*n^3 - 575*n^2 + 830*n - 400)/4 for n = 1, 2, 3, ... The Simplest, though is t(n) = 5*n^2 - 5*n + 2 for n = 1, 2, 3, ...