find the common difference of a A.P. whose first term is 100 and the sum of whose first six term is five times the sum of the next six terms
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- a=100
- s6=n/2{2a+(n_1)d}
- =6/2{2 ×100 +(6-1)d}
- =3{200+5d}
s12=6{200+11d}
=1200+66d-600-15d
according to question,
600+15d=5(600+51d)
255d-15d=600-3000
240d=-2400
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