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Question

Δ(r)=∣ ∣rr2r3124213∣ ∣ then 5r=1Δ(r) will be _____


A

370

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B

-370

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C

378

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D

356

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Solution

The correct option is B

-370


5r=1Δ(r)=∣ ∣ ∣5r=1r5r=1r25r=1r3124213∣ ∣ ∣

=∣ ∣ ∣r(r+1)2r(r+1)(2r+1)6r2(r+1)24124213∣ ∣ ∣ where r=5

=∣ ∣1555225124213∣ ∣=370


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