Write the statements Sk and Sk+1.Sn: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 
What will be an ideal response?
Sk: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + k(k + 1) =
Sk+1: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + (k + 1)(k + 2) =
Mathematics
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Use the remainder theorem to find the remainder when f(x) is divided by the given x - k.f(x) = x2 + 2x + 5; x + 2
A. 5 B. -5 C. -3 D. -13
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Decide whether the relation defines a function.{(-5, 1), (-3, -6), (3, -2), (3, 3)}
A. Not a function B. Function
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Simplify the expression.
A.
B. 9x2 - 62
C.
D. 9x - 4
Mathematics