0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Jordan
BeauOh, 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.
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.
Add your answer:
Earn +20 pts
What are the first 5 terms in the sequence whose nth term is given by 30-2n?
Well, darling, the first 5 terms in that fancy sequence are 28, 26, 24, 22, and 20. You get those numbers by plugging in n values 1 through 5 into the formula 30-2n. So, there you have it, sweet cheeks!
What is 88 divided by 16?
5.5
What are the multiples of 4 5 and 8 between 55 and 101?
Four: 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.Five: 60, 65, 70, 75, 80, 85, 90, 95, 100.Eight: 56, 64, 72, 80, 88, 96.Only 80 is on all three lists.
What does 88 K ON A P K mean?
88 Keys on a piano keyboard.
What is the answer to 11y 88?
If: 11y = 88 Then: y = 8
