Multiple Choice Questions on How many terms are there in an AP Whose first and fifth terms are ndash 14 and 2 respectively and th........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

How many terms are there in an AP Whose first and fifth terms are ndash 14 and 2 respectively and th...........

Quantitative Aptitude ( CCS) Arithmetic progression
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    How many terms are there in an AP. Whose first and fifth terms are – 14 and 2, respectively and the sum of terms is 40?

    15

    Incorrect Answer

    5

    Incorrect Answer

    10

    Correct Answer

    20

    Incorrect Answer
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    Explanation:

    T6=a+(n−1).d 
    2 = - 14 + 4d
    d=164=4
    ∴ Sn = n2[2a+(n−1)×d]
    40=n2[−28+(n−1)×4]
    => 80=−28n+4n2−4n
    => 4n2−32n−80=0
    n2−8n−20=0
    => (n - 10) (n + 2) = 0
    ∴n=10 (?n≠−2)

    By: MIRZA SADDAM HUSSAIN
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