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Mathematics
Mathematics
Problem
In an arithmetic progression, the
4
4
4
th term is
2
k
−
1
2k-1
2
k
−
1
and the
10
10
10
th term is
5
k
+
5
5k+5
5
k
+
5
. Which of the following gives the first term
a
a
a
and common difference
d
d
d
? a)
(
k
+
2
2
,
k
−
8
2
)
\left(\dfrac{k+2}{2},\;\dfrac{k-8}{2}\right)
(
2
k
+
2
,
2
k
−
8
)
b)
(
k
−
23
5
,
3
k
+
6
5
)
\left(\dfrac{k-23}{5},\;\dfrac{3k+6}{5}\right)
(
5
k
−
23
,
5
3
k
+
6
)
c)
(
k
−
8
2
,
k
+
2
2
)
\left(\dfrac{k-8}{2},\;\dfrac{k+2}{2}\right)
(
2
k
−
8
,
2
k
+
2
)
d)
(
k
−
8
,
k
+
2
)
(k-8,\;k+2)
(
k
−
8
,
k
+
2
)
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