Arithmetic Sequences (HSC SSCE Mathematics Advanced): Quizzes

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Arithmetic Sequences
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What is the defining property of an arithmetic sequence?

Each term differs from previous by constant

For the sequence 5,12,19,265, 12, 19, 26, what is the common difference dd?

d=7d = 7

Is the sequence 1,4,9,16,...1, 4, 9, 16, ... an arithmetic progression?

No, differences are 3, 5, 7 (not equal)

What does AP stand for in the context of sequences?

Arithmetic Progression

What is the formula for the nnth term of an AP?

Tn=a+(n−1)dT_n = a + (n-1)d

For an AP with a=3a=3 and d=4d=4, what is T10T_{10}?

T10=39T_{10} = 39

If T1=105T_1 = 105 and T10=6T_{10} = 6 in an AP, what is dd?

d=−11d = -11

For the AP 20,17,14,11,...20, 17, 14, 11, ..., what is T20T_{20}?

T20=−37T_{20} = -37

In sequence 26,35,44,...,91726, 35, 44, ..., 917, how many terms are there?

100 terms

What generates an AP when substituted with positive integers?

A linear function

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