consider the following number pattern using only the odd natural numbers and so on...
numbers A B are taken from
C
the pattern ,where A,B are two adjacent numbers in a certain row ,and C is the number in the next row,directly below ,and between , A and B.
if A+B+C =2093,find value of C
plz refer to the attach ment and answer it with explanation
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Answer:
679, 681, 733
Step-by-step explanation:
the middle number of row (x) = x² (if x is odd)
=x²-1 and x²+1 (if x is even)
total numbers in row (x) = x
sum of numbers in the row (x) = x³
(A+B+C)/3=2093/3= 697.67 is close to B
= 26.413 ≈≈26 is the no of row of A and B, 27 of C
the middle numbers of row 26 & 27 are (675, 677) and 729 respectively
let, B = 677 + n, so, A= 677-2+n, C = 729 +n
so, 677+n+677-2+n+729+n=2093
so, 2081 + 3n = 2093
so, n= 4
A = 677-2+4= 679,
B= 677 +4 = 681,
C =729+4 = 733
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