Strange Sequence

Number Theory Level 3

Consider the sequence

8 , 5 , 4 , 9 , 1 , 7 , a , b , c , d 8,5,4,9,1,7,a,b,c,d

where it is known that 0 ≤ a , b , c , d < 10 0 \leq a,b,c,d < 10 are whole numbers.

What is the value of 1000 a + 100 b + 10 c + d 1000a+100b+10c+d ?


The answer is 6320.

Janardhanan Sivaramakrishnan by Janardhanan Sivaramakris… , 42

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1 solution

Eight, Five, Four, Nine, One, Seven, Six, Three, Two, Zero forms the sequence of the first 10 whole numbers in alphabetical order.

Hence, a = 6 , b = 3 , c = 2 , d = 0 a=6,b=3,c=2,d=0 and the required answer is 6320 \boxed{6320}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Never crossed my mind.

Nisshith Sharma - 6 years, 1 month ago

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