10 questionsπ¬π§English
πͺ Arithmetic & Geometric Series β A-level
Maths Β· A-level β nth terms, sums of series, sigma notation and sum to infinity of convergent geometric series
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Questions
What is the nth term of the arithmetic sequence 5, 8, 11, 14, β¦?
3n + 2
3n + 5
2n + 3
5n + 3
20s
What is the common ratio of the geometric sequence 48, 12, 3, β¦?
β36
Β½
4
ΒΌ
20s
For which values of the common ratio r does a geometric series have a sum to infinity?
|r| < 1
r < 1
0 < r β€ 1
|r| > 1
20s
What is the sum to infinity of the geometric series 12 + 6 + 3 + β¦?
18
21
36
24
20s
An arithmetic series has first term 3 and common difference 4. What is the sum of its first 20 terms?
860
1640
410
820
30s
Evaluate Ξ£ (2r + 1) for r = 1 to 10.
130
121
110
120
30s
In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?
3
β1
4
7
30s
A sequence is defined by uβββ = 3uβ β 2 with uβ = 4. What is uβ?
36
10
28
30
30s
A geometric sequence has 2nd term 6 and 5th term 162. What is the sum of its first 5 terms?
243
484
242
121
60s
A convergent geometric series has a sum to infinity equal to 4 times its first term. What is the common ratio?
β
ΒΌ
β
ΒΎ
30s