Quadratic Sequences (Leaving Cert Mathematics): Quizzes

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Quadratic Sequences
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What is the second difference in a quadratic sequence?

Constant value

General term of a quadratic sequence?

an2+bn+can^2+bn+c

Second difference formula for quadratic sequence?

2a2a

Find aa in Tn=an2+bn+cT_n=an^2+bn+c using second diff=1?

a=1/2a=1/2

General term: Tn=12n2+12nT_n = \frac{1}{2}n^2 + \frac{1}{2}n; T40T_{40}?

820

Sequence in the example?

Squares forming pattern

What is the main feature of quadratic sequences?

Second difference constant

What type of sequence has constant second difference?

Quadratic sequence

Difference between first and second difference?

First is linear, second is constant

Sequence: 1, 3, 6, 10; next?

15

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