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Objective. Finding the nth term of a quadratic sequence. n - n + 2. 2. 2 4 8 14 22. 2 4 6 8. 2 2 2. 2n - 2n - 3. 2. -3 1 9 21 37. 4 8 12 16. 4 4 4. an + bn + c. 2. a+b+c 4a+2b+c 9a+3b+c. 5a + b. 3a + b.
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Objective Finding the nth term of a quadratic sequence
n - n + 2 2 2 4 8 14 22 2 4 6 8 2 2 2
2n - 2n - 3 2 -3 1 9 21 37 4 8 12 16 4 4 4
an + bn + c 2 a+b+c 4a+2b+c 9a+3b+c 5a + b 3a + b 2a Copy this down and learn it
a+b+c 4a+2b+c 9a+3b+c 3a + b 5a + b 2a an + bn + c 2 3 4 11 24 1 7 13 6 6
an + bn + c 2 3 6 = 2a 1 6 1 = 3a + b a+b+c 3 = a + b + c 3a + b 2a
b 2 2 + n - 8 3 a n c 8 + 6 = 2a a = 3 1 = 3a + b b = -8 3 = a + b + c c = 8
Find the nth terms of these sequences 3 5 9 15 23 2 10 22 38 58 -1 3 10 20 33 50 40 31 23 16
an + bn + c 2 a+b+c 4a+2b+c 9a+3b+c 5a + b 3a + b 2a
A cubic sequence is given by 3 2 an + bn + cn + d Can you find the algebraic difference table for it?