The n th-term formula a n = n ( n − 1 ) ( n − 2 ) ( n − 3 ) ( n − 4 ) 4 ⋅ 3 ⋅ 2 ⋅ 1 + 2 n generates 2, 4, 6, 8, 15 for n = 1 , 2 , 3 , 4 , 5 . Make minor changes m to above formula to produce an n th-term formula (with n = l , 2 , 3 , 4 , and 5 ) that will generate the following finite sequences. a. 2, 4, 6, 8, 20 b. 2, 4, 6, 8, 30
The n th-term formula a n = n ( n − 1 ) ( n − 2 ) ( n − 3 ) ( n − 4 ) 4 ⋅ 3 ⋅ 2 ⋅ 1 + 2 n generates 2, 4, 6, 8, 15 for n = 1 , 2 , 3 , 4 , 5 . Make minor changes m to above formula to produce an n th-term formula (with n = l , 2 , 3 , 4 , and 5 ) that will generate the following finite sequences. a. 2, 4, 6, 8, 20 b. 2, 4, 6, 8, 30
a
n
=
n
(
n
−
1
)
(
n
−
2
)
(
n
−
3
)
(
n
−
4
)
4
⋅
3
⋅
2
⋅
1
+
2
n
generates 2, 4, 6, 8, 15 for
n
=
1
,
2
,
3
,
4
,
5
. Make minor changes m to above formula to produce an nth-term formula (with
n
=
l
,
2
,
3
,
4
,
and 5
) that will generate the following finite sequences.
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