The nth Term of a Sequence (Leaving Cert Mathematics): Quizzes

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The nth Term of a Sequence
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What does the notation TnT_n represent in sequences?

The nth term formula

What is the main advantage of using an nth term formula?

Find any term without calculating all

Given Tn=4n−3T_n = 4n - 3, what is T2T_2?

5

What is the common difference in the sequence 3, 7, 11, 15, ...?

4

What is the first step in finding the nth term of an arithmetic sequence?

Find the common difference

If the common difference is dd, what pattern should you start with?

dndn

Using Tn=4n−3T_n = 4n - 3, what are the first three terms?

1, 5, 9

For the sequence 3, 7, 11, 15, ..., what is the nth term formula?

Tn=4n−1T_n = 4n - 1

For sequence 4, 7, 10, 13, 16, ... with Tn=3n+1T_n = 3n + 1, find T20T_{20}.

61

In an nth term formula, what does the coefficient of nn represent?

The common difference

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