Math, asked by tanvidokka, 8 months ago

find the 24th term and sum of 50 terms of the Ap 3,7,11​

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Answered by AaminAftab21
1

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Answered by Ataraxia
4

\rm AP=3 \ , \ 7 \ , \ 11 \ ,\ ........\\\\\rm Common \ difference =7-3=4\\\\\bf\boxed{ \rm\bf x_{n} = a+(n-1)d}\\\\\rm x_{24}=7+(24-1)4\\\\\rm x_{24} = 7+23 \times 4\\\\\rm\bf\underline{  x_{24}=99}

24th term = 99

\rm x_{50}=7+(50-1)4\\\\\rm x_{50}=7+49 \times 4\\\\\rm\bf x_{50}=203

\bf \boxed { \rm\bf Sum \ of \ first \ n \ terms = \dfrac{n}{2} \times (x_{n}+x_{1})}\\\\\\\rm Sum \ of \ first \ 50 \ terms = \dfrac{50}{2} \times (203+3)

                               \rm = 25\times 206

                               \rm\bf   = 5150

HOPE IT HELPS U  :)

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