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Divide the sequence by 5 and the answer becomes very obvious:
1, 4, 9, 16,...N2
So, 5, 20, 45, 80,...5N2
To find the nth term of a sequence, we need to identify the pattern or rule that governs the sequence. In this case, the sequence 5, 20, 45, 80 appears to be increasing by multiples of consecutive odd numbers. The differences between the terms are 15, 25, and 35, which are consecutive odd numbers 5, 3, and 7. Therefore, the nth term can be represented by the formula n^2 + 4, where n is the position of the term in the sequence.
Oh, what a lovely sequence we have here! To find the Nth term, we need to look at the differences between consecutive numbers. Here, we see that the differences are increasing by 15 each time. So, the Nth term can be found using the formula 5 + 15(N-1).
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What is the nth term of the quadratic sequence 5 20 45 80 125?
{5, 20, 45, 80, 125} = 5{1, 4, 9, 16, 25} = 5{1², 2², 3², 4², 5²} → U{n} = 5n²
What is the nth term for 25 22 19 16?
t(n) = 28-3n where n = 1,2,3,...
What is the nth term of the sequence 15 25 35 45 55?
15(1)
What is the nth term of the sequence 10 13 18 25 34?
The next term is 45 because the numbers are increasing by increments of 3 5 7 9 and then 11
What is the formula for the nth Term of these sequences 13 21 29 37 45 ...?
nth term = 5 +8n
What is the nth term of the quadratic sequence 5 20 45 80 125?
{5, 20, 45, 80, 125} = 5{1, 4, 9, 16, 25} = 5{1², 2², 3², 4², 5²} → U{n} = 5n²
How do you find the nth term?
Say if you had the pattern 15 20 25 30 35 40 45 50 To find the nth term you have to see what the gap between the numbers is. In our case this is 5. Then you have to find out what the difference between the gap and the first number. In this sequence it is 10. So your answer would be..... 5n+10 That's how you find the nth term.
What is the nth term for 25 22 19 16?
t(n) = 28-3n where n = 1,2,3,...
What is the nth term of the sequence 15 25 35 45 55?
15(1)
What is the nth term of the sequence 10 13 18 25 34?
The next term is 45 because the numbers are increasing by increments of 3 5 7 9 and then 11
What is the formula for the nth Term of these sequences 13 21 29 37 45 ...?
nth term = 5 +8n
What is the nth term for the sequence 13 25 45 73 109?
There are infinitely many possible solutions to such a question. The simplest quadratic is Un = 4n2 + 9
What is the nth term of -5 10 -15 20?
1. -52. 103. -154. 205. -256. 307. -358. 409. -45
What is the nth term for 10 13 18 25 34 45?
tn = n2 + 9, n = 1,2,3,...
What is the nth term of 6 15 28 45 66?
Oh, what a lovely sequence you have there! To find the pattern, let's look at the differences between the numbers: 9, 13, 17, 21. Do you see how the differences are increasing by 4 each time? That means the nth term is found by adding the square of n to the previous term. Happy math-ing, my friend!
What is the nth term of 1 6 11 16 and 21?
5n+1
What is the nth term of 3 11 25 and 45?
3n^2 - n + 1
