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!
To find the nth term of a sequence, we first need to identify the pattern. In this case, the differences between consecutive terms are 9, 13, 17, and 21. These differences do not form a simple arithmetic progression, so the sequence likely involves a quadratic equation. By analyzing the pattern further, we can determine the general formula for the nth term.
nth term = 5 +8n
15(1)
Divide the sequence by 5 and the answer becomes very obvious: 1, 4, 9, 16,...N2 So, 5, 20, 45, 80,...5N2
t(n) = 28-3n where n = 1,2,3,...
5n+1
nth term = 5 +8n
15(1)
1. -52. 103. -154. 205. -256. 307. -358. 409. -45
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.
Divide the sequence by 5 and the answer becomes very obvious: 1, 4, 9, 16,...N2 So, 5, 20, 45, 80,...5N2
28
t(n) = 28-3n where n = 1,2,3,...
5n+1
3n^2 - n + 1
Yes, the fractions 15/28 and 45/84 are equivalent, as 45/84 reduces to 15/28.
5/9 = 25/45 but not to 15/28
15/2