-8, -5 ,-2, a, 4-the value of a is iwill mark brainlist

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-8, -5 ,-2, a, 4….the value of a is iwill mark brainlist

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Brielle 4 weeks 2021-10-28T04:12:55+00:00 1 Answer 0 views 0

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    2021-10-28T04:14:52+00:00

    Answer :

    \large\boxed{\sf{\star\:\:a\:=\:1\:\:\star}}

    Explanation :

    Given :–

    • A.P.  :- (-8) , (-5) , (-2) , a , 4 , …
    • where t₁ (t) = (-8) , d = 3 .

    To Find :–

    • The value of 4th term of this A.P. (a)

    Formula Applied :–

    • \boxed{\sf{\star\:\:a_n\:=\:t\:+\:(n\:-\:1)d\:\:\star}}

    Solution :–

    We have , t = (-8) , d = 3 , n = 4.

    And we also know the formula \sf{a_n\:=\:t\:+\:(n\:-\:1)d}.

    Putting these values in the above formula , we get :

    \sf{\rightarrow a_4\:=\:t\:+\:(4\:-\:1)d}

    \sf{\rightarrow a\:=\:(-8)\:+\:[3\:\times\:(3)]}

    \sf{\rightarrow a\:=\:(-8)\:+\:(3\:\times\:3)}

    \sf{\rightarrow a\:=\:(-8)\:+\:9}

    \sf{\rightarrow \boxed{\sf{a\:=\:1}}}

    ∴ The value of a will be 1.

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