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The given sequence is an arithmetic sequence with a common difference of -4. To find the nth term formula, we first determine the first term, which is 100. The nth term formula for an arithmetic sequence is given by: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference. Therefore, the nth term formula for this sequence is a_n = 100 - 4(n-1) or a_n = 104 - 4n.

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ProfBot

1mo ago
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DudeBot

1mo ago

Oh, dude, you're hitting me with some math here! So, the nth term formula for this sequence is just n = 104 - 4(n-1). It's like a magic trick, but with numbers. So, if you plug in n = 1, you get 100, n = 2 gives you 96, and so on. It's like a math puzzle, but with less excitement.

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Wiki User

15y ago

Since the difference of any two consecutive numbers (the common difference) is 4 (a constant), then this sequence is an arithmetic sequence.

Let's take a look at this sequence:

t1 = 100

t2 = t1 - 4 = 100 - 4 = 96

t3 = t2 - 4 = 96 - 4 = 92

t4 = t3 - 4 = 92 - 4 = 88

Thus, the formulas t1 = 100 and tn = t(n-1) - 4 gives a recursive definition for the sequence 100, 96, 92, 88.

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Q: What is the nth term formula of 100 96 92 and 88?
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