JEE MATHS UNIT 6
QUIZ NO 1
TOTAL QUESTIONS = 20
1. The nth term of an arithmetic progression is given by
A. a + (n-1)d
B. a - (n-1)d
C. a + nd
D. a - nd
2. The sum of the first n terms of a geometric progression is given by
A. a(1-r^n)/(1-r)
B. a(r^n-1)/(r-1)
C. a(1-r^n)/(r-1)
D. a(r^n-1)/(1-r)
3. The sum of the first n natural numbers is
A. n(n+1)/2
B. n^2
C. n(n-1)/2
D. n^2/2
4. In an arithmetic progression, if the 5th term is 15 and the common difference is 2, the first term is
A. 5
B. 7
C. 3
D. 6
5. If the sum of the first n terms of a series is 3n^2 + 2n, the nth term is
A. 6n - 1
B. 6n + 2
C. 3n^2 + 2n
D. 5n + 3
6. If the 3rd term of a geometric progression is 9 and the 6th term is 729, the common ratio is
A. 2
B. 3
C. 4
D. 5
7. The sum of the infinite geometric series with first term a and common ratio r is
A. a/(1-r)
B. ar
C. a/(r-1)
D. ar^n
8. The arithmetic mean between 5 and 15 is
A. 10
B. 20
C. 15
D. 25
9. The harmonic mean of 4 and 16 is
A. 8
B. 10
C. 6.4
D. 12
10. If a, b, c are in geometric progression, then loga, logb, logc are in
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. none of these
11. If the nth term of a series is given by 2n - 1, then the series is
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. none of these
12. The sum of the squares of the first n natural numbers is
A. n(n+1)(2n+1)/6
B. n^2(n+1)^2/4
C. n(n-1)(2n-1)/6
D. n^3
13. If the sum of the first 10 terms of an arithmetic progression is 155 and the first term is 5, the common difference is
A. 2
B. 3
C. 4
D. 5
14. The sum of the first n terms of the series 1 + 4 + 9 + 16 + ... is given by
A. n(n+1)(2n+1)/6
B. n^2(n+1)^2/4
C. n(n-1)(2n-1)/6
D. n^3
15. If a sequence is defined by a_n = 2a_(n-1) + 3 and a_1 = 5, the value of a_3 is
A. 21
B. 19
C. 15
D. 17
16. The nth term of the harmonic progression corresponding to an arithmetic progression with first term a and common difference d is
A. 1/(a + (n-1)d)
B. a/(n-1)
C. (a + d)/(n-1)
D. 1/(a - (n-1)d)
17. The number of terms in the sequence 3, 7, 11, ..., 95 is
A. 23
B. 24
C. 22
D. 21
18. The geometric mean between 2 and 8 is
A. 4
B. 5
C. 6
D. 4√2
19. The sum of the first n terms of the series 1/2 + 1/4 + 1/8 + ... is
A. 1
B. 1 - (1/2^n)
C. (1/2^n)
D. n/2
20. If the sum of three consecutive terms of an arithmetic progression is 21 and their product is 315, the terms are
A. 5, 7, 9
B. 6, 7, 8
C. 4, 7, 10
D. 3, 7, 11
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