= (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
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