SSLC Maths English Medium - Sequences and Series of Real Numbers One Mark Questions Online Test

Maths - Sequences and Series of Real Numbers

Maths - Sequences and Series of Real Numbers

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1. Which one of the following is not true?
   1.   A sequence is a real valued function defined on N.
   2.   Every function represents a sequence.
   3.   A sequence may have infinitely many terms.
   4.   A sequence may have a finite number of terms.
2. The 8^th term of the sequence 1, 1, 2, 3, 5, 8,.... is
   1.   25
   2.   24
   3.   23
   4.   21
3. The next term of 1/20 in the sequence 1/2,1/6,1/12,1/20,...is
   1.   1/24
   2.   1/22
   3.   1/30
   4.   1/18
4. If a, b, c, l, m are in A.P, then the value of a - 4b + 6c - 4l + m is
   1.   1
   2.   2
   3.   3
   4.   0
5. If a, b, c are in A.P. then a - b/b - c is equal to
   1.   a/b
   2.   b/c
   3.   a/c
   4.   1
6. If the n^th term of a sequence is 100n +10, then the sequence is
   1.   an A.P.
   2.   a G.P.
   3.   a constant sequence
   4.   neither A.P. nor G.P.
7. If a₁,a₂,a₃,....gare in A.P. such that a₄/a₇=3/2 then the 13^th term of the A.P. is
   1.   3/2
   2.   0
   3.   12a₁
   4.   14a₁
8. If the sequence a₁,a₂,a₃,....is in A.P. , then the sequence a₅,a₁₀,a₁₅,...is
   1. a G.P.
   2. an A.P.
   3. neither A.P nor G.P.
   4. a constant sequence
9. If K+2,4K-6,3K-2 are the three consecutive terms of an A.P, then the value of k is
   1.   2
   2.   3
   3.   4
   4.   5
10. If a, b, c, l, m. n are in A.P., then 3a+7,3b+7,3C+7,3l+7,3m+7,3n+7 form
    1. a G.P.
    2. an A.P.
    3. a constant sequence
    4. neither A.P. nor G.P
11. If the third term of a G.P is 2, then the product of first 5 terms is
    1.   5²
    2.   2⁵
    3.   10
    4.   15
12. If a, b, c are in G.P, then a-b/b-c is equal to
    1.   a/b
    2.   b/a
    3.   a/c
    4.   c/b
13. If x,2x+2,3x+3 are in G.P, then 5x,10x+10,15x+15 form
    1. an A.P.
    2. a G.P.
    3. a constant sequence
    4. neither A.P. nor a G.P.
14. The sequence-3,-3,-3,.... is
    1. an A.P. only
    2. a G.P. only
    3. neither A.P. nor G.P
    4. both A.P. and G.P.
15. If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and the first term is positive, then its 3rd term is
    1.   8
    2.   1/16
    3.   1/32
    4.   16
16. In a G.P, t₂=3/5 and t₃= 1/5 Then the common ratio is
    1.   1/5
    2.   1/3
    3.   1
    4.   5
17. If x≠0 then , 1 + sec ₓ + sec² ₓ + sec³ ₓ + sec⁴ ₓ + sec⁵ ₓ is equal to
    1.   (1 + sec ₓ) (sec² ₓ + sec³ ₓ + sec⁴ ₓ)
    2.   ( 1 + sec ₓ)(1 + sec² ₓ + sec⁴ ₓ)
    3.   (1 - sec ₓ) (sec ₓ + sec³ ₓ + sec⁵ ₓ)
    4.   ( 1 + sec ₓ)(1 + sec³ ₓ + sec⁴ ₓ)
18. If the n^th term of an A.P. is t_n = 3 - 5n then the sum of the first n terms is
    1.   n/2 [1 - 5n]
    2.   n(1 - 5n)
    3.   n/2(1 + 5n)
    4.   n/2(1 + n)
19. The common ratio of the G.P. a^m-n , a^m , a^m+n is
    1.   a^m
    2.   a^-m
    3.   aⁿ
    4.   a^-n
20. If 1 + 2 + 3 + .... + n = k then 1³ + 2³ + ... + n³ is equal to
    1.   k²
    2.   k³
    3.   k(k + 1) / 2
    4.   (k + 1)³