If (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = a + ib, then what is 2 * 5 * 10….(1 + n2) is equal to?
A)1+n2
B)x2-y2
c)x2+y2
d) none of these
option C) is the correct
detailed solution ::
We have (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = x + iy …..(i)
(1 − i) (1 − 2i) (1 − 3i) ….. (1 − ni) = x − iy …..(ii)
Multiplying (i) and (ii),
we get 2 * 5 * 10 ….. (1 + n2) = x2 + y2
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