1.

For an A.P a=11 and d= 7 Find the sum of first 40term of the A.p​

Answer»

GIVEN that,

  • In an AP, a = 11 ; d = 7

To FIND,

  • Sum of first 40 terms if AP.

Formula :

\orange{\bigstar}\boxed{\rm{\red{ S_{n} = \cfrac{n}{2}[2a + (n-1) d]}}}\:\orange{\bigstar}

\bf\:\implies S_{40} = \cancel{\cfrac{40}{2}} [2(11)+(40-1)7]

\bf\:\implies S_{40} =20[22 +(39)7]

\bf\:\implies S_{40} =20[22 +273]

\bf\:\implies S_{40} =20[295]

\bf\:\implies S_{40}  = 5900

\underline{\boxed{\rm{\purple{\therefore Sum\:of\:first\:40\:terms = 5900.}}}}\:\orange{\bigstar}



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