Sequences and Their Values

Sequences and Functions Overview

Sequence A

• Table D

  • x values: 0, 1, 2, 3, 4

  • y values: 3, 5, 7, 9, 11

  • Description: This sequence represents a linear function where y increases by 2 for each increment of 1 in x.

Sequence B

• Table E

  • x values: 0, 1, 2, 3, 4

  • y values: 0, 3, 6, 3, 0

  • Description: This sequence shows a quadratic-like pattern, initially rising, reaching a peak at x=2, and then falling back.

Sequence C

• Table F

  • x values: 0, 1, 2, 3, 4

  • y values: 3, 6, 12, 24, 48

  • Description: This is an exponential function where y doubles with each step of x. It can be modeled by the equation y = 3 imes 2^x.

Additional Sequences

Sequence D

• Table A

  • x values: 0, 1, 2, 3, 4

  • y values: 81, 27, 9, 3, 1

  • Description: This represents a geometric sequence where each term decreases by a factor of 3. The function can be expressed as y = 81 imes (1/3)^x.

Sequence E

• Table B

  • x values: 0, 1, 2, 3, 4

  • y values: 10, 4, 2, 4, 10

  • Description: This sequence demonstrates a non-linear pattern which appears symmetric about the middle values.

Sequence F

• Table C

  • x values: 0, 1, 2, 3, 4

  • y values: 2, 6, 12, 20, 30

  • Description: This represents a quadratic sequence. The differences between y-values (4, 6, 8, 10) show increasing gaps, indicating a second degree polynomial.