15 For what value of n, are the nth terms of two APs: 63, 65, 67,… and 3, 10, 17,… equal? ​

Question

15 For what value of n, are the nth terms of two APs: 63, 65, 67,… and 3, 10, 17,… equal?

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Melody 19 mins 2021-10-13T08:29:56+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-13T08:31:05+00:00

    Answer:

    AP=63,65,67,..

    a=63

    d=2

    an=a+(n-1)d

    =63+(n-1)2

    =63+2n-2

    =61+2n

    AP=3,10,17,..

    a’=3

    d’=7

    a’n=a+(n+1)d’

    =3+(n-1)7

    =3+7n-7

    =-4+7n

    ATQ,

    an=a’n

    61+2n=-4+7n

    61+4=7n-2n

    65=5n

    n=13

    the 13th terms of both the APs are equal.

    0
    2021-10-13T08:31:51+00:00

    Answer:

    AP = 63,65,67,..

    a = 63

    d = 2

    an = a + (n-1)d

    = 63 + (n-1)2

    = 63 + 2n – 2

    = 61 + 2n

    AP = 3,10,17,…

    a’ = 3

    d’ = 7

    a’n = a’ + (n-1)d’

    = 3 + (n-1)7

    = 3 + 7n -7

    = -4 + 7n

    ATQ,

    an = a’n

    61 + 2n = -4 + 7n

    61 + 4 = 7n – 2n

    65 = 5n

    n = 65/5

    n = 13

    The 13th terms of both the APs are equal.

    Mark az brainliest!!!!

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