how many 3 digit numbers are devisible by 7​

Question

how many 3 digit numbers are devisible by 7​

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Maya 1 month 2021-08-12T10:37:18+00:00 2 Answers 0 views 0

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    0
    2021-08-12T10:38:41+00:00

    ☆here \: is \: ur \: answer☆\:

    There are 128 3-digits number which are divisible by 7

    hope \: it \: helps \: you.....

    0
    2021-08-12T10:38:43+00:00

    Answer:

    Three Numbers which are divisible by 7 are

    105,112,119,…..994

    which forms an A.P

    first term of this A.P a

    1

    =105

    second term of this A.P is a

    2

    =112

    common difference of this A.P is

    d=a

    2

    −a1=112−105=7

    nth term of this A.P is given by

    a

    n

    =a

    1

    +(n−1)d

    ⟹a

    n

    =105+(n−1)7

    ⟹a

    n

    =105+7n−7

    ⟹a

    n

    =98+7n…….eq(1)

    for finding number of terms(n) in this A.P put last term a

    n

    =994 in eq(1)

    ⟹994=98+7n

    ⟹7n=994−98

    ⟹7n=896

    ⟹n=

    7

    896

    ⟹n=128

    hence, their are 128 three digit numbers which are divisible by 7

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