JEE MATHS UNIT 6
QUIZ NO 2
TOTAL QUESTIONS = 20
1. The sum of the first n terms of an arithmetic progression is given by
A. n/2[2a + (n-1)d]
B. n[2a + (n-1)d]
C. n/2[2a - (n-1)d]
D. n[2a - (n-1)d]
2. The nth term of a geometric progression is given by
A. ar^(n-1)
B. ar^n
C. ar^(n+1)
D. ar^2
3. The sum of the first n terms of the series 2 + 4 + 6 + ... is
A. n(n+1)
B. n^2
C. n(n-1)
D. n(n+2)
4. If the sum of an infinite geometric series is 8 and the first term is 4, the common ratio is
A. 1/2
B. 1/4
C. 2
D. 4
5. In an arithmetic progression, if the first term is 3 and the 7th term is 15, the common difference is
A. 2
B. 3
C. 4
D. 5
6. If the nth term of a sequence is given by a_n = 3n + 2, the sequence is
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. none of these
7. The sum of the first n odd natural numbers is
A. n^2
B. 2n
C. n(n+1)
D. n(n-1)
8. The geometric mean of 4 and 16 is
A. 10
B. 8
C. 6
D. 12
9. If the sum of the first n terms of an arithmetic progression is n^2, then its nth term is
A. 2n-1
B. n^2-n
C. n^2-2n
D. 2n+1
10. The sum of the first n terms of a geometric progression with a = 3 and r = 2 is
A. 3(2^n - 1)
B. 3(2^n + 1)
C. (2^n - 1)/3
D. 3(2^n - 1)/2
11. If the 4th term of a geometric progression is 16 and the 2nd term is 4, the common ratio is
A. 2
B. 4
C. 8
D. 1/2
12. The sum of the squares of the first n natural numbers is given by
A. n(n+1)(2n+1)/6
B. n(n-1)(2n-1)/6
C. n^3
D. n^2
13. The number of terms in the sequence 5, 10, 15, ..., 100 is
A. 19
B. 20
C. 21
D. 22
14. If a, b, c are in arithmetic progression, then b is equal to
A. (a+c)/2
B. (a+c)
C. 2(a+c)
D. a/c
15. The sum of the first n terms of the series 1 + 1/4 + 1/9 + ... is approximately
A. π^2/6
B. n^2
C. 1/n
D. ln(n)
16. If the harmonic mean of 12 and 15 is H, then H is
A. 14
B. 13
C. 13.5
D. 12.5
17. The nth term of the sequence defined by a_n = 5n - 3 is
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. none of these
18. If the sum of the first 10 terms of an arithmetic progression is 120 and the first term is 2, the common difference is
A. 2
B. 3
C. 4
D. 5
19. The sum of an infinite geometric series with first term 5 and common ratio 1/3 is
A. 10
B. 15
C. 12.5
D. 7.5
20. The sum of the cubes of the first n natural numbers is given by
A. (n(n+1)/2)^2
B. n(n+1)(2n+1)/6
C. n^2(n+1)^2
D. n(n-1)/2
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