Home
Class 12
MATHS
Which of the following are A.P. (i) 1,3,...

Which of the following are A.P. (i) 1,3,5,7,…
(ii) `pi,pi+e^(pi),pi+2e^(pi),"...."`
(iii) `a, a-b, a-2b,a-3b,"…."`

Text Solution

AI Generated Solution

To determine which of the given sequences are arithmetic progressions (A.P.), we need to check if the difference between consecutive terms is constant. Let's analyze each sequence step by step. ### Sequence (i): 1, 3, 5, 7, … 1. **Identify the terms**: - First term \( a_1 = 1 \) - Second term \( a_2 = 3 \) - Third term \( a_3 = 5 \) ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Which of the following is true? (a) pi/3>tan^(-1)pi/3 (b) pi/3 cos^(-1)pi/4'

The argument of (1+i)/(1-i) is (i) 0 (ii) -(pi)/(2) (iii) (pi)/(2) (iv) pi

The argument of -I is: (i) pi (ii) -pi (iii) -(pi)/2 (iv) (pi)/2

Plot the poitns whose coordinate are given below. (i) (2,3pi) (ii) (2,-2pi//3) (iii) (-3,3pi//4) .

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)

f(x)=(s i nx)/(sqrt(1+tan^2x))+(cos x)/(sqrt(1+cot^2x)) is constant in which of following interval a. \ (0,\ pi/2) b. (pi/2,\ pi) c. (pi,\ (3pi)/2) d. ((3pi)/2,2pi)

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

ARIHANT MATHS ENGLISH-SEQUENCES AND SERIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Which of the following are A.P. (i) 1,3,5,7,… (ii) pi,pi+e^(pi),pi+2...

    Text Solution

    |

  2. Let a,b,c be in A.P. and |a|lt1,|b|lt1|c|lt1.ifx=1+a+a^(2)+ . . . ."to...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

    Text Solution

    |

  5. If a1, a2, a3,.....an are in H.P. and a1 a2+a2 a3+a3 a4+.......a(n-1...

    Text Solution

    |

  6. Let V(r ) denotes the sum of the first r terms of an arithmetic progre...

    Text Solution

    |

  7. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  8. Let V(r) denote the sum of the first r terms of an arithmetic progress...

    Text Solution

    |

  9. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  10. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  11. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  12. In a G.P of positive terms if any term is equal to the sum of the next...

    Text Solution

    |

  13. Suppose four distinct positive numbers a(1),a(2),a(3),a(4) are in G.P....

    Text Solution

    |

  14. The first two terms of a geometric progression add up to 12. The sum o...

    Text Solution

    |

  15. If the sum of first n terms of an A.P. is cn^(2) then the sum of squar...

    Text Solution

    |

  16. The sum to infinity of the series 1+2/3+6/3^2+14/3^4+...is

    Text Solution

    |

  17. Let Sk,k=1, 2, …. 100 denote the sum of the infinite geometric series ...

    Text Solution

    |

  18. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...

    Text Solution

    |

  19. A person is to count 4500 currency notes. Let an denote the number of ...

    Text Solution

    |

  20. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

    Text Solution

    |

  21. A man saves ₹ 200 in each of the first three months of his servies.In ...

    Text Solution

    |