Use mathematical induction to prove that the stated property of the sigma notation is true for all positive integers n . (This sigma notation is defined in Section 1.6 .) a. a ∑ i = 1 n b i = ∑ i = 1 n a b i b. ∑ i = 1 n ( a i + b i ) = ∑ i = 1 n a i + ∑ i = 1 n b i
Use mathematical induction to prove that the stated property of the sigma notation is true for all positive integers n . (This sigma notation is defined in Section 1.6 .) a. a ∑ i = 1 n b i = ∑ i = 1 n a b i b. ∑ i = 1 n ( a i + b i ) = ∑ i = 1 n a i + ∑ i = 1 n b i
Use mathematical induction to prove that the stated property of the sigma notation is true for all positive integers
n
. (This sigma notation is defined in Section
1.6
.)
a.
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=
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a
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