Find the sum of the odd numbers between 0 and 50 . _______________________ →​

Question

Find the sum of the odd numbers between 0 and 50 .
_______________________
→​

in progress 0
Ariana 1 month 2021-08-12T17:04:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-12T17:05:32+00:00

    Answer:

    Answer. =625. Therefore the sum of all odd numbers between 0 and 50 is 625.Mar 17, 2016

    0
    2021-08-12T17:05:47+00:00

    \bf{\underline{Solution}}:-

    Sum of all odd numbers between 0 and 50 are 1,3,5,7,9,………….,49.

    Given :-

    • First term (a) = 1
    • Common difference (d) = 3 – 1 = 2
    • nth term (an) = 49

    To find :-

    • The sum of the odd numbers between 0 and 50

    Solution :-

    At first we need to find an,

    we know that,

    \blue{\bigstar}\:\:{\underline{\boxed{\bf\red{a_n=a+(n-1)d}}}}

    \rm\longrightarrow\:49=1+(n-1)\times{2}

    \rm\longrightarrow\:49-1=(n-1)\times{2}

    \rm\longrightarrow\:48=(n-1)\times{2}

    \rm\longrightarrow\:\cancel\dfrac{48}{2}=n-1

    \rm\longrightarrow\:24=n-1

    \rm\longrightarrow\:24+1=n

    \rm\longrightarrow\:25=n

    \rm\longrightarrow\:n=25

    Now,

    By using formula of Sn,

    \orange{\bigstar}\:\:{\underline{\boxed{\bf\pink{s_n=\dfrac{n}{2}\:[2a+(n-1)d]}}}}

    \rm\longrightarrow\:s_n=\dfrac{25}{2}\:[2\times{1}+(25-1)\times{2}]

    \rm\longrightarrow\:s_n=\dfrac{25}{2}\:[2+24\times{2}]

    \rm\longrightarrow\:s_n=\dfrac{25}{2}\:[2+48]

    \rm\longrightarrow\:s_n=\dfrac{25}{2}\times{50}

    \rm\longrightarrow\:s_n=25\times{25}

    \rm\longrightarrow\:s_n=625

    Hence,the sum of the odd numbers between 0 and 50 will be 625.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )