IB SL Review Sequences and Series
1. Consider the sequence 8, 11, 14, 17, 20, …
a. Find the next three terms.
b. Find the common difference, d.
c. Find u12.
d. Write a rule for the sum of n terms for this sequence.
e. Find S12.
4
2. Expand and evaluate.
∑ (−14 − 2n)
n =1
3. Write a rule for the nth term in this sequence. 40, 30, 20, 10,…
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4. Find S12 for the series -1 – 3 – 9 – 27 - ….
5. Find u6 for the sequence 14, 42, 126, 378, …
6. Find S6 for the series 67 + 71 + 75 + 79 + …
7. Consider the sequence -18, -36, -72, -144, …
a. Find the next three terms.
b. Find the common ratio, r.
c. Find u8.
d. Write a rule for the sum of n terms for this sequence.
e. Find S10.
Name _______________________
Date ______________Period_____
IB SL Review Sequences and Series
Name _______________________
Date ______________Period_____
8. Find the 9th term in the arithmetic sequence if
and
8.
9. Find the 10th term in the geometric sequence if a4 = −8 and a6 = −200 .
10.
€ sequence
€ is 62.755, and the sum of the infinite sequence
The sum of the first three terms of a geometric
is 440. Find the common ratio.
11. Write the binomial in expanded form. (2a + b)
7
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8
12. Find the 6th term of ( a − 3b) .
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12
13. Find the coefficient of the x5 term in (2x − 3) .
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⎛ x a2 ⎞6
14. The constant term of ⎜⎜ + ⎟⎟ , where a ∈ Z , is 1280. Find a.
⎝a x ⎠
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