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Problem
Problem
Suppose a sequence
u
1
,
u
2
,
u
3
,
u
4
,
u
5
,
u
6
,
…
u_1, u_2, u_3, u_4, u_5, u_6, \dots
u
1
,
u
2
,
u
3
,
u
4
,
u
5
,
u
6
,
…
is arithmetic. a. Show that
u
1
+
u
2
,
u
3
+
u
4
,
u
5
+
u
6
,
…
u_1 + u_2, u_3 + u_4, u_5 + u_6, \dots
u
1
+
u
2
,
u
3
+
u
4
,
u
5
+
u
6
,
…
is also arithmetic. b. Given that
u
2
=
5
u_2 = 5
u
2
=
5
and
u
10
=
61
u_{10} = 61
u
10
=
61
, find the 30th term of the sequence in
a
.
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