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a(1), a(2), a(3) ……….. Is an A.P. which ...

`a_(1), a_(2), a_(3)` ……….. Is an A.P. which of the following is true

A

1. `a_(1) + a_(2) = a_(2) + a_(4)`

B

2. `a_(2) + a_(8) = a_(4) + a_(6)`

C

3. `a_(2) = 2a_(4)`

D

4. `a_(1) lt a_(2) lt a_(3) ………….`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If a_(1), a_(2), a_(3), ......... , are in A.P. with common difference 5 and if a_(i)a_(j) != - 1 for i ,j = 1, 2, .... , n , then tan^(1)(5/(1 + a_(1) a_(2))) + tan ^(1)(5/(1 + a_(2)a_(3))) + ...... + tan^(-1)(5/(1 + a_(n - 1)a_(n))) is equal to

    A
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    B
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    C
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    D
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  • If the sequence a_(1),a_(2),a_(3) ,…….. Is an A.P., then the sequence a_(5), a_(10), a_(15) ,…….. Is ………..

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    B
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    D
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    `3/2`
    B
    0
    C
    `12a_(1)`
    D
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