Summary (Grade 11 NSC Matric Mathematics): Quizzes

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What does TnT_n represent in a sequence?

The general term at position nn

What are successive terms in a sequence?

Terms that appear one after another

What is the key property of a linear sequence?

First differences are constant

What is the formula for the common difference dd?

d=Tn−Tn−1d = T_n - T_{n-1}

What identifies a quadratic sequence?

Constant second differences

What is the general term formula for a quadratic sequence?

Tn=an2+bn+cT_n = an^2 + bn + c

In a quadratic sequence, what does the second difference equal?

2a2a

A sequence has first differences 3, 5, 7, 9. What type is it?

Quadratic

Given Tn=n2+2n+1T_n = n^2 + 2n + 1, what is T3T_3?

16

What is the first step to determine sequence type?

Calculate first differences

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