If k, 2k-1 and 2k+1 are three consecutive terms of an A.P., the value of k is *

Question

If k, 2k-1 and 2k+1 are three consecutive terms of an A.P., the value of k is *

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Charlie 1 month 2021-08-20T16:14:04+00:00 1 Answer 0 views 0

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    2021-08-20T16:15:13+00:00

    Answer:

    Since these are the three consecutive terms of an AP therefore the common difference between them must be same .

    d1=d2

    =>a2-a1=a3-a2

    =>2k1k=2k+1(2k1)

    =>k-1=2k+12k+1

    =>k-1=2

    =>k=2+1=3.

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