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WorksheetsSequences and Series 12AAHL
Total questions: 26
Worksheet time: 20mins
What is the fifth term of the geometric sequence?
5, 15, 45,...
135
1875
1215
405
The sum of the terms in a sequence is known as a (a)
What is the eleventh term of an arithmetic sequence in which a = 3 and d = 6?
63
39
69
36
From the movie Lion King, what does Hakuna Matata mean?
Run fast
Go away
Beautiful day
No worries
a1=−2, r=−2, Sn=22 Determine the number of terms n in the series
6
7
8
5
Find the sum of the 1st 20 terms: 2+5+8+......
1220
610
600
612
Which series is divergent?
1 + 1/4 + 1/9 + 1/16 + ...
1 + 1/2 + 1/4 + 1/8 + ...
1 - 1/3 + 1/9 - 1/27 + ...
-5 + -2 + 1 + 4 + ...
Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6
63
60
46
56
Find the sum: 11 + 15 + 19 + .......+ 83
19
83
893
624
Find the 3rd Term
-3
1
9
3
Whose slogan is "Eat Fresh"?
Arby's
Subway
Buster Brown
Outback
find sum with lower bound 3 and upper bound 7
125
lower who?
upper what?
521
Write an arithmetic sequence that has three arithmetic means between 3.5 and 2.7.
3.5, 3.25, 3.05, 2.85, 2.7
3.5, 3.35, 3.15, 2.95, 2.7
3.5, 3.3, 3.1, 2.9, 2.7
3.5, 3.4, 3.1, 2.8, 2.7
Find the nth term of the sequence given the first several terms are -3,9,-27,81,...
an = −13n
an = (−1)n 3n
an = (−1)n3n
None of the above
Which series is convergent?
2/3 + 4/6 + 6/12 + 8/24 + ...
2/1 + 4/2 + 8/3 + 16/4 + ...
3/1 + 9/4 + 27/9 + 81/16 + ...
1 + 2 + 3 + 4 + ...
Find the first term in the arithmetic sequence for which a77 = -13 and d = -1/2.
26
25
27
28
Write a sequence that has two geometric means between 7 and 448.
7, 30, 144, 448
7, 26, 110, 448
7, 28, 112, 448
7, 29, 113, 448
2, 6, 18, 54, ...?
If 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement verifies that Sn is valid for n = 1?
6 + 8 = 2(2 + 5); 14 = 14
6 = 1(1 + 5); 6 = 6
6 + 8 + 10 = 3(3 + 5); 24 = 24
6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36
For the equation 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement assumes that Sn is valid for n = k?
6 + 8 + 10 + ··· + (6 + 2k) = k(k + 5)
6 + 8 + 10 + ··· + (8 + 2k) = (k + 1)(k + 6)
6 + 8 + 10 + ··· + (6 + 2k) = (k + 1)(k + 6)
6 + 8 + 10 + ··· + (4 + 2k) = k(k + 5)
A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.
2,791 seats
2,803 seats
2,816 seats
2.829 seats
Find the explicit rule for the nth term of the sequence
-15, -9, -3, 3...
-15+(n+1)(6)
-15+(n-1)(-6)
-15+(n-1)(6)
15+(n-1)(6)
