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Let `D_(r) = |(a,2^(r),2^(16) -1),(b,3(4^(r)),2(14^(16) -1)),(c,7(8^(r)),4(8^(16) -1))|`, then the value of `underset(k =1)overset(16)Sigma D_(k)`, is |
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Answer» Correct Answer - A `sum_(r=1)^(16)S_(r)=|(a, sum_(r=1)^(16)2^(r),2^(16)-1),(b, 3(sum_(r=1)^(16)4^(r)), 2(4^(16)-1)),(c, 7(sum_(r=1)^(16)8^(r)),4(8^(16)-1))|` `=|(a, (2(2^(16)-1))/(2-1),2^(16)-1),(b, 3xx4((4^(16)-1))/(4-1), 2(4^(16)-1)),(c, 7xx8((8^(16)-1))/(8-1), 4(8^(16)-1))|` `=|(a, 2(2^(16)-1),2^(16)-1),(b, 4(4^(16)-1),2(4^(16)-1)),(c,8(8^(16)-1),4(8^(16)-1))|=0` |
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