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CanadaON
Grade 11

Terms in Arithmetic Sequences

Interactive practice questions

Consider the first three terms of the arithmetic sequence: $5$5, $12$12, $19$19, . . .

a

Determine $d$d, the common difference.

b

State the expression for finding $T_n$Tn, the $n$n th term in the sequence.

c

Determine $T_{10}$T10, the $10$10 th term in the sequence.

Easy
3min

Consider the first three terms of the arithmetic sequence: $17$17, $16.2$16.2, $15.4$15.4, . . .

Easy
3min

Consider the first three terms of the arithmetic sequence: $10$10, $3$3, $-4$4, . . .

Easy
2min

Consider the first three terms of the arithmetic sequence: $5$5, $\frac{23}{4}$234, $\frac{13}{2}$132, . . .

Easy
2min
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Outcomes

11U.C.2.2

Determine the formula for the general term of an arithmetic sequence [i.e., t_n = a + (n –1)d ] or geometric sequence (i.e., tn = a x r^(n – 1)), through investigation using a variety of tools and strategies and apply the formula to calculate any term in a sequence

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