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Which term of the ap 3,15,27,39,........will …

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Which term of the ap 3,15,27,39,........will be 120 more than its 21st term ?

    • Posted by Manvi . 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Yogita Ingle 4 years, 11 months ago

    Given sequence is 3,15,27,39,...

    The first term is a=3

    The common difference is d=15−3=12

    we know that the nth term of the arithmetic progression is given by a+(n−1)d

    Let the mth term be 120 more than the 21st term

    Therefore, 120+mthterm=21stterm

    ⟹120+a+(m−1)d=a+(21−1)d

    ⟹120+(m−1)12=(20)12

    ⟹12m−12=240+120

    ⟹12m=360+12

    ⟹12m=372

    ⟹m= 372/12 ​=31

    0Thank You

    Aachal Satwan 4 years, 11 months ago

    a = 3, d=12 a21 = a + (n-1)d = 3 + (21-1)12 = 243 243 + 120 = 363 an = 363 a + (n-1)d = 363 3 + (n-1)12 = 363 12n = 363 - 3 + 12 n = 372 / 12 ∴n = 31st term

    0Thank You

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