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Problem
Problem
A sequence is defined by the formula
u
1
=
−
12
u_1 = -12
u
1
=
−
12
,
u
n
+
1
=
u
n
+
7
u_{n+1} = u_n + 7
u
n
+
1
=
u
n
+
7
,
n
≥
1
n \ge 1
n
≥
1
. a. Prove that the sequence is arithmetic. b. Find the 200th term of the sequence. c. Is 1000 a member of the sequence?
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