What will be the number in place of question mark (?) in the following series? -9, -15,-49, -191. (?),-5759 (a) -861 (b) -961 (c)-976
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Given : -9, -15,-49, -191, ? , -5759
To Find : number in place of question mark
Solution:
-9
-9 * 2 + 3 = -15
-15 * 3 - 4 = -49
-49 * 4 + 5 = -191
-191 * 5 - 6 = -961
-961 * 6 + 7 = -5759
Hence -961 comes at place of ?
Logic is
Tₙ = Tₙ₊₁ * n + (-1)ⁿ(n+1) where T₁ = - 9
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