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“6. Find the first five terms of each sequence”

Need help asap! “6. Find the first five terms of each sequence”-example-1

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Answer:

a. 1, 3, 9, 27, 81

b. 1, -1, -3, -5, -7

c. 1, 2, 5, 10, 17

d. 1, 3, 7, 13, 21

Explanation:

a.

a(1) = 1

a(2) = 3 × a(1) = 3 × 1 = 3

a(3) = 3 × a(2) = 3 × 3 = 9

a(4) = 27

a(5) = 81

Answer: 1, 3, 9, 27, 81

b.

b(1) = 1

b(2) = -2 + b(1) = -2 + 1 = -1

b(3) = -2 + b(2) = -2 + (-1) = -3

b(4) = -5

b(5) = -7

Answer: 1, -1, -3, -5, -7

c.

c(1) = 1

c(2) = (c(1))² + 1 = 1² + 1 = 2

c(3) = (c(2))² + 1 = 2² + 1 = 5

c(4) = 9 + 1 = 10

c(5) = 16 + 1 = 17

Answer: 1, 2, 5, 10, 17

d.

d(1) = 1

d(2) = d(1) + 2(2) - 2 = 1 + 4 - 2 = 3

d(3) = d(2) + 2(3) - 2 = 3 + 6 - 2 = 7

d(4) = d(3) + 2(4) - 2 = 7 + 8 - 2 = 13

d(5) = d(4) + 2(5) - 2 = 13 + 10 - 2 = 21

Answer: 1, 3, 7, 13, 21

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