contestada

1. Write the recursive formula for the following sequence: -3, -1, 1, 3, …

2. Write the explicit formula for the following sequence: -3, -1, 1, 3, …

3. Using the explicit formula, find the 8th term of the sequence 1, -2, -5, …

Respuesta :

sqdancefan

9514 1404 393

Answer:

  1. a(1) = -3; a(n) = 2+a(n-1)
  2. a(n) = -3 +2(n -1)
  3. -20

Step-by-step explanation:

1. The first term is -3. Each subsequent term is 2 more than the one before it. So, the recursive formula for the sequence is ...

  • a(1) = -3
  • a(n) = 2 + a(n -1)

__

2. The first term is -3. The common difference is +2, so the explicit formula is ...

  a(n) = a(1) +d(n -1)

  a(n) = -3 +2(n -1)

__

3.  The first term is 1 and the common difference is -3. Then the explicit formula is ...

  a(n) = 1 -3(n -1) . . . . . . . using the general form shown in problem 2

Then the 8th term is ...

  a(8) = 1 -3(8 -1) = 1 -21

  a(8) = -20

Otras preguntas