Find 50th term of an arithematic sequence 15,30,45=–etc

Question

Find 50th term of an arithematic sequence 15,30,45………………..etc

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Maria 1 week 2021-11-19T15:13:05+00:00 2 Answers 0 views 0

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    0
    2021-11-19T15:14:38+00:00

    \huge\sf\pink{Answer}

    ☞ 50th term of the AP is 750

    \rule{110}1

    \huge\sf\blue{Given}

    ✭ AP – 15,30,45………

    \rule{110}1

    \huge\sf\gray{To \:Find}

    ◈ Its 50th term?

    \rule{110}1

    \huge\sf\purple{Steps}

    Here in the AP we observe that,

    \sf a = 15

    \sf d = a_2 - a_1 = 30-15 = 15

    So we know that,

    \underline{\boxed{\sf a_n = a+(n-1)d}}

    Substituting the given values,

    \sf a_{50} = 15+(50-1)15

    \sf a_{50} = 15+(49)(15)

    \sf a_{50} = 15+735

    \sf\orange{a_{50} =750}

    \rule{170}3

    0
    2021-11-19T15:14:46+00:00

    In the above Question , we have to find the 50th term of the given arithmetic sequence –

    15, 30, 45, ………

    Here ,seeing the given sequence , we can get the following information –

    The initial term, a = 15

    Common difference , d = 15

    Now , we know that –

    The nth term of an ap can be written as –

    a_n = a + ( n – 1 ) d

    => a_50 –

    => a + 49d

    => 15 + 49 × 15

    => 50 × 15

    => 750

    Thus , the 50th term of the given AP is 750 .

    This is the required answer …….

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