Decide whether the given sequence 24,17,10,3…is an A.P.? If yes

find its common term (tn) .​

Question

Decide whether the given sequence 24,17,10,3…is an A.P.? If yes

find its common term (tn) .​

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Parker 3 months 2021-07-21T01:46:33+00:00 1 Answers 0 views 0

Answers ( )

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    2021-07-21T01:47:35+00:00

    Step-by-step explanation:

    Which of the following sequences are A.P. ? If they are A.P. find the common difference .

    (1) 2, 4, 6, 8,….

    (2) 2, 52, 3, 73 ,….

    (3) –10, –6, –2, 2…

    (4) 0.3, 0.33, 0.333,…

    (5) 0, –4, –8, –12,…

    (6) −15,−15,−15,…

    (7) 3, 3+2–√, 3+22–√, 3+32–√

    (8) 127, 132, 137,…

    ANSWER:

    (1) 2, 4, 6, 8,….

    The given sequence is an A.P.

    Common difference = Second term − First term

    = 4 − 2

    = 2

    (2) 2, 52, 3, 73 ,….

    The given sequence is not an A.P.

    (3) –10, –6, –2, 2…

    The given sequence is an A.P.

    Common difference = Second term − First term

    = (−6) − (−10)

    = 4

    (4) 0.3, 0.33, 0.333,…

    The given sequence is not an A.P.

    (5) 0, –4, –8, –12,…

    The given sequence is an A.P.

    Common difference = Second term − First term

    = (−4) − (0)

    = −4

    (6) −15,−15,−15,…

    The given sequence is an A.P.

    Common difference = Second term − First term

    = (−15) − (−15)

    = 0

    (7) 3, 3+2–√, 3+22–√, 3+32–√

    The given sequence is an A.P.

    Common difference = Second term − First term

    = 3+2–√−3

    = 2–√

    (8) 127, 132, 137,…

    The given sequence is an A.P.

    Common difference = Second term − First term

    = (132) − (127)

    = 5

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