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SEQUENCE2 HELP!!!











































(1 pt) List the first four terms of each sequence.

an=5n−1: , , , , .

bn=(−2)n: , , , , .

c1=2cn=−2cn−1−1: , , , , .

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Apr 18, 2011
Computing Terms in a Sequence
by: Staff


The question:

(1 pt) List the first four terms of each sequence.

an=5n-1: , , , , .

bn=(-2)n: , , , , .

c1=2cn=-2cn-1-1: , , , , .


The answer:


Computing terms in the sequence

a_n = 5n – 1

its first term is (n = 1):

a_1 = 5*1 – 1 = 4

its second term is (n = 2):

a_2 = 5*2 – 1 = 9

its third term is (n = 3):

a_3 = 5*3 – 1 = 14

its fourth term is (n = 4):

a_4 = 5*4 – 1 = 19


final answer: a_n = 5n - 1: 4, 9, 14, 19, . . .

-------------------------

b_n = (-2)n

its first term is (n = 1):

b_1 = (-2)*1 = -2

its second term is (n = 2):

b_2 = (-2)*2 = -4

its third term is (n = 3):

b_3 = (-2)*3 = -6

its fourth term is (n = 4):

b_4 = (-2)*4 = -8


final answer: b_n = (-2)n: -2, -4, -6, -8, . . .


-------------------------

c_1=2cn=-2cn-1-1

c_1=2cn=-2cn-1-1

2*c_n = -2c_n -1 -1

2*c_n = -2c_n -2

4*c_n = -2

c_n = -1/2


final answer: c_1 = 2*c_n = -2c_n -1 -1: -½, -½ , -½, -½ ,. . .






Thanks for writing.


Staff
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