Linear Sequences (Junior Cert Mathematics): Quizzes

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Linear Sequences
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What is a pattern in mathematics?

A set following a specific rule

What are the numbers in a sequence called?

Terms

What is the common difference in the sequence 2,5,8,11,...2, 5, 8, 11, ...?

33

What is the common difference in the sequence 10,7,4,1,...10, 7, 4, 1, ...?

−3-3

What defines a linear sequence?

Difference between terms is constant

What does TnT_n represent in a sequence?

The nnth term

In the formula Tn=a+(n−1)dT_n = a + (n-1)d, what does aa represent?

The first term

For sequence 3,8,13,18,...3, 8, 13, 18, ..., what is the first term aa and common difference dd?

a=3a = 3, d=5d = 5

Using Tn=5n−2T_n = 5n - 2, what is the 5050th term?

248248

Simplify Tn=3+(n−1)×5T_n = 3 + (n-1) \times 5 to its simplest form.

Tn=5n−2T_n = 5n - 2

If 5n−2=2485n - 2 = 248, what is nn?

5050

Why is the general term important?

Find any term quickly

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