Linear (Arithmetic) Sequences (Leaving Cert Mathematics): Quizzes

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Linear (Arithmetic) Sequences
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12 questions from this quiz

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What is an arithmetic sequence?

Sequence with constant diff. between terms

What symbol denotes the common difference in an arithmetic sequence?

dd

What does aa represent in an arithmetic sequence?

The first term

What is the general term formula for an arithmetic sequence?

Tn=a+(n−1)dT_n = a + (n-1)d

If a=6a=6 and d=−2d=-2, what is T3T_3?

22

How do you find the common difference dd?

d=Tn−Tn−1d = T_n - T_{n-1}

In sequence 2,15,28,...2, 15, 28, ..., what is dd?

1313

What does TnT_n represent?

The term at position nn

What must nn be in an arithmetic sequence?

A natural number

How do you prove a sequence is arithmetic?

Show Tn−Tn−1T_n - T_{n-1} is constant

If Tn=n2+3nT_n = n^2 + 3n, is the sequence arithmetic?

No, Tn−Tn−1=2n+2T_n - T_{n-1} = 2n+2 (not constant)

What is T2T_2 in general form?

a+da + d

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