let a1,a2,....,anbe a given A.P. whose common difference is an integer and Sn=a1+a2+….+an . If a1=1,an=300 and 15≤n≤50 , then the ordered pair Sn-4,an-4 is equal to
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a
(2490, 249)
b
(2480, 249)
c
(2480, 248)
d
(2490, 248)
answer is D.
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Detailed Solution
Suppose that a1,a2,a3,……an are in APa1=1 an=1+(n-1)d=300(n-1)d=299=13×2314≤n-1≤49 ⇒(n-1)=23& d=13 i.e. n=24d=13 now Sn-4=n-422a+(n-5)d=202[2+19×13]=10(2+247)=2490an-4=1+(n-5)d=248