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Class XI Mathematics Quiz on Sequences and Series
Class XI
Mathematics
Sequences and Series
12 questions
HARD
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Preview questions
1. What is the sum of the first n terms of an arithmetic series?
n/2 * (first term + last term) · n * (first term + last term) · n * first term · n/2 * (2 * first term + (n - 1) * common difference)
2. In a geometric series, if the first term is a and the common ratio is r, what is the nth term?
a * r^(n-1) · a * n * r · a + (n-1) * r · a * (1 - r^n) / (1 - r)
3. The sum of the first n terms of an arithmetic progression is given by S_n = 3n^2 + 5n. What is the common difference?
6 · 5 · 3 · 2
4. If the 5th term of an arithmetic sequence is 20 and the 10th term is 35, what is the common difference?
3 · 4 · 5 · 7
5. What is the sum of the infinite geometric series 4 + 2 + 1 + ...?
6 · 8 · 10 · 12
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