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Q: What is the nth term of 3 11 25 and 45?

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The next term is 45 because the numbers are increasing by increments of 3 5 7 9 and then 11

5n+1

nth term = 5 +8n

tn = n2 + 9, n = 1,2,3,...

15(1)

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The next term is 45 because the numbers are increasing by increments of 3 5 7 9 and then 11

5n+1

nth term = 5 +8n

tn = n2 + 9, n = 1,2,3,...

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.

15(1)

t(n) = 28-3n where n = 1,2,3,...

There are infinitely many possible solutions to such a question. The simplest quadratic is Un = 4n2 + 9

6 = 2 * 3 15 = 3 * 5 28 = 4 * 7 45 = 5 * 9 66 = 6 * 11 Assuming the pattern continues, the nth term is (n + 1) * (2n +1) = 2n^2 + 3n + 1.

Divide the sequence by 5 and the answer becomes very obvious: 1, 4, 9, 16,...N2 So, 5, 20, 45, 80,...5N2

{5, 20, 45, 80, 125} = 5{1, 4, 9, 16, 25} = 5{1², 2², 3², 4², 5²} → U{n} = 5n²

9 to 5