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1 + 2 + 3 + ⋯ + 2 0 1 7 1 2 + 2 2 + 3 2 + ⋯ + 2 0 1 7 2 = ?
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1 solution
How can you simplify it to that?
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The first expression is of the form :
1
2
+
2
2
+
3
2
+
⋯
+
n
2
=
6
n
(
n
+
1
)
(
2
n
+
1
)
& the second one being
1
+
2
+
3
+
⋯
+
n
=
2
n
(
n
+
1
)
. Now put n= 2017 to get the desired result.
Clearly the expression Can be simplified to - 2 2 0 1 7 . 2 0 1 8 6 2 0 1 7 ( 2 0 1 8 ) ( 4 0 3 5 ) = 3 4 0 3 5 . again don't divide it . we have only 1 option having unit's digit 5. So that's the answer indeed.