find a.p whose first term is 100 and the sum of whose first six terms is 5 times the sum of next 6 terms
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aniruddh27:
ho
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a=100
(s6)×5=(s12-s6)
[6/2(2×100+5d)]×5=[12/2(2×100+11d)]-[6/2(200+5d)]
[3(200+5d)]×5=[6(200+11d)]-3(200+5d)
(600+15d)×5=1200+66d-600-15d
3000+75d=600+51d
75d-51d=600-3000
24d=-2400
d=-2400/24=-1000
a2=a+d=100-1000=-900
a3=a+2d=100+2×-1000=100-2000=-1900
Ap=100,-900,-1900
(s6)×5=(s12-s6)
[6/2(2×100+5d)]×5=[12/2(2×100+11d)]-[6/2(200+5d)]
[3(200+5d)]×5=[6(200+11d)]-3(200+5d)
(600+15d)×5=1200+66d-600-15d
3000+75d=600+51d
75d-51d=600-3000
24d=-2400
d=-2400/24=-1000
a2=a+d=100-1000=-900
a3=a+2d=100+2×-1000=100-2000=-1900
Ap=100,-900,-1900
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