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If we look at the absolute value of the terms, we see that they follow the pattern that the nth term is 2n.
In order to account for the alternating signs, we are going to need to have the 2n multiplied by (-1)^(n-1), yielding 2n*(-1)^(n-1).
Check the first few terms,
2*1*(-1)^(1-1)=2
2*2*(-1)^(2-1)=-4
2*3*(-1)^(3-1)=6
Looks good.
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How do you write the Nth term in the sequence 2 4 8 16?
The Nth term in the series is [ 2N ] .
What is the nth term for 5 10 19 32 49 nth term?
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
Prove that no matter what the real numbers a and b are the sequence with nth term a nb is always an AP?
By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that is in the nth position of the sequence. For example consider the sequence 2, 4, 6, 8, 10,... The pattern is easy to see. # The first term is two. # The second term is two times two. # The third term is two times three. # The fourth term is two times four. # The tenth term is two times ten. # the nineteenth term is two times nineteen. # The nth term is two times n. In this sequence the nth term is 2n.
What is the formula of the nth term of this sequence 248163264?
multiplies by 2
What is the nth term and and the 14th term of the sequence of numbers 2 8 14 and 20?
They are: nth term = 6n-4 and the 14th term is 80
What is the sequence if the nth term is 10 - 3n?
7
What is the nth term for 26 18 10 2 -6?
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
What is the nth term of -8 2 12 22?
The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.
What is the nth term of 2 6 10 14 18?
Well, isn't that just a lovely pattern we have here? Each term is increasing by 4, isn't that delightful? So, if we want to find the nth term, we can use the formula: nth term = first term + (n-1) * common difference. Just like painting a happy little tree, we can plug in the values and find the nth term with ease.
what is the nth term for 12 10 8 6?
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
Which choice is the simple formula for the nth term what arithmetic sequence 6 2 -2 -6 -10?
10 - 4n
How do you write the Nth term in the sequence 2 4 8 16?
The Nth term in the series is [ 2N ] .
What is the nth term for 5 10 19 32 49 nth term?
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
What is the nth term for this sequence 3 5 9 15 23?
To find the nth term of a sequence, we first need to identify the pattern. In this case, the sequence appears to be increasing by consecutive odd numbers: 2, 4, 6, 8, and so on. This means the nth term can be represented by the formula n^2 + 2. So, the nth term for this sequence is n^2 + 2.
What is the nth term of the sequence 4 6 8 10?
Un = 2n + 2 is one possible answer.
What is the nth term 6 8 10 12?
The given sequence 6, 8, 10, 12 is an arithmetic sequence with a common difference of 2 between each term. To find the nth term of an arithmetic sequence, you can use the formula: (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. In this case, the first term (a_1) is 6 and the common difference (d) is 2. So, the nth term (a_n = 6 + (n-1)2 = 2n + 4).
What is the nth term for 6 11 18 27 38?
The nth term of the sequence is (n + 1)2 + 2.
