Arithmetic Sequences (Leaving Cert Mathematics): Quizzes

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Arithmetic Sequences
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12 questions from this quiz

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What defines an arithmetic sequence?

Same number added to get next term

What letter represents the first term in an arithmetic sequence?

aa

How do you find the common difference dd?

Subtract previous term from next term

For sequence 3, 8, 13, ..., what is the common difference?

5

What does a negative common difference mean?

Sequence decreases

What is the formula for the nth term of an arithmetic sequence?

Tn=a+(n−1)dT_n = a + (n-1)d

Why is it (n−1)(n-1) in the nth term formula?

Add dd exactly (n−1)(n-1) times

For sequence 3, 8, 13, ... with Tn=5n−2T_n = 5n - 2, find T20T_{20}.

98

For sequence 7, 10, 13, ..., what is the nth term formula?

Tn=3n+4T_n = 3n + 4

If Tn=3n+4T_n = 3n + 4 and Tn=97T_n = 97, which term is 97?

31st

Why is 168 not in sequence with Tn=3n+4T_n = 3n + 4?

n=5423n = 54\frac{2}{3} (not whole)

How can you verify your nth term formula is correct?

Substitute n=1,2,3n = 1, 2, 3 to match terms

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