Math, asked by anubhavjaiswalpcw6wa, 1 year ago

If Sn is denoted the sum of n first term of an AP , proved that S12 =(S8-S4)


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Answered by Anonymous
23
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Prove :

L.H.S = R.H.S

i.e
S12 =(S8-S4)


Now,

Sn = n/2(2a+(n-1)d)

S12= 12/2(2a+(12-11)d

= 6(2a+11d)

S12 =12a+66d --------- L.H.S


Now , R.H.S

3(S8-S4)

3[4(2a+7d)-2(2a+3d)]

=3[8a+28d-4a-6d]

=3[4a+22d]

=12a+66d -----------. R.H.S

Therefore L.H.S = R .H S


THANKS ✌☺


#HARYANVI THINKER ✔❤
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Answered by Anonymous
20
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hope it helps you


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