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What is the value of 22 + 62 + 102 + 142 – 12 – 52 – 92 – 132 ?

a

30

b

15

c

60

d

0

Answer : Option C
Explanation :

Expression,

= (22 – 12) + (62 – 52) + (102 – 92) + (142 – 132)

= (2 × 1 + 1) + (2 × 5 + 1) + (2 × 9 + 1) + (2 × 13 + 1)

[ (n + 1)² – n2 = n2 + 2n + 1 – n2 = 2n + 1]

= 3 + 11 + 19 + 27 = 60

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