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5 March, 03:02

In Exercises 1-6, write the first five terms of the sequence whose th term is given.

1. A_n = 3^n

2. A_n = (-2/5) ^n

3. A_n = sin npi/2

4. A_n = 3n/n + 4

5. A_n = (-1) ^n+1 (2/n)

6. A_n = 2 + 2/n - 1/n^2

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Answers (1)
  1. 5 March, 06:29
    0
    Step-by-step explanation:

    1. Un = 3^ n

    U1 = 3, U2 = 9, U3 = 27, U4 = 81, U5 = 243

    2. Un = (-2/5) ^n

    U1 = - 2/5, U2 = 4/25, U3 = 8/125, U4 = 16/625, U5 = 32/3125

    3. Un = sin npi/2

    U1 = 1, U2 = 0, U3 = - 1, U4 = 0, U5 = - 1

    4. Un = 3n/n+4

    U1 = 3/5, U2 = 1, U3 = 9/7, U4 = 3/2, U5 = 5/3

    5. Un = (-1) ^n+1 (2/n)

    U1 = 1, U2 = 2, U3 = - 1/3, U4 = 3/2, U5 = - 3/5

    6. Un = 2 + 2/n - 1/n^2

    U1 = 3, U2 = 11/4, U3 = 23/9, U4 = 39/16, U5 = 59/25
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