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Asked Dec 2, 2019
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12.
7
k(9k 5)
Evaluate the sum
k 1
7
Σ κ(9k+ 5) =
(Simplify your answer.)
k 1
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12. 7 k(9k 5) Evaluate the sum k 1 7 Σ κ(9k+ 5) = (Simplify your answer.) k 1

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Expert Answer

Step 1
Find the sum ofk(9k+5)
Σ ο-53)
Rewrite the sum as
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Find the sum ofk(9k+5) Σ ο-53) Rewrite the sum as

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Step 2
Applying the sum nule , Σ , +b, = Σα, + Συ,, Σ ( 9k+5k)-Σ* Σ5k
k-1
k-1
7
Σ9-9Σ
9(12+22++72
7(8)(15)
=9
6
9(140)
=1260
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Applying the sum nule , Σ , +b, = Σα, + Συ,, Σ ( 9k+5k)-Σ* Σ5k k-1 k-1 7 Σ9-9Σ 9(12+22++72 7(8)(15) =9 6 9(140) =1260

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