= (2k – 1) (4k^2 + 2k + 1)

= (2k – 1) (4k^2 + 2k + 1)

Answer:

Answer:

a. k=3

b. 8

c.-3

a.

\begin{gathered}\frac{2k-1}{k+5} =\frac{4k-2}{2k+1}\\ (2k-1)(2k+1)=(k+5)(4k-2)\\4k^{2} -1=4k^{2} +3k-10\\3k=9\\k=3\end{gathered}

k+5

2k−1

=

2k+1

4k−2

(2k−1)(2k+1)=(k+5)(4k−2)

4k

2

−1=4k

2

+3k−10

3k=9

k=3

b.

\begin{gathered}k+5\\=3+5\\=8\end{gathered}

k+5

=3+5

=8

c.

\begin{gathered}a_{n}=a_{1}+d(n-1)\\a_{12}=8-1(12-1)\\a_{12}=8-1(11)\\a_{12}=8-11\\a_{12}=-3\end{gathered}

a

n

=a

1

+d(n−1)

a

12

=8−1(12−1)

a

12

=8−1(11)

a

12

=8−11

a

12

=−3

= (2k – 1) (4k^2 + 2k + 1)

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