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Numbers
(112 + 122 + 132 + ... + 202) =?
385
2485
2870
3255
Show Answer
Correct Answer:
2485
Explanation:
(11
2
+ 12
2
+ 13
2
+ ... + 20
2
) = (1
2
+ 2
2
+ 3
2
+ ... + 20
2
) - (1
2
+ 2
2
+ 3
2
+ ... + 10
2
)
[
Ref:
(1
2
+ 2
2
+ 3
2
+ ... +
n
2
) =
1
n
(
n
+ 1)(2
n
+ 1)
]
6
=
❨
20 x 21 x 41
-
10 x 11 x 21
❩
6
6
= (2870 - 385)
= 2485.
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