Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each verbal description of a sequence with its appropriate explicit function. an = 3 · (4)n - 1 an = 4 · (2)n - 1 an = 2 · (3)n - 1 an = 4 + 2(n - 1) an = 2 + 3(n - 1) an = 3 + 4(n - 1) a geometric sequence with first term of 4 and a common ratio of 2 arrowRight an arithmetic sequence with a first term of 2 and a common difference of 3 arrowRight a geometric sequence with first term of 3 and a common ratio of 4 arrowRight an arithmetic sequence with a first term of 3 and a common difference of 4

Answer 1

9514 1404 393

Answer:

see below

Explanation:

The general form of a geometric sequence is ...

an = a1·r^(n-1)

The multiplier is the first term; the base of the exponent is the common ratio.

__

The general form of an arithmetic sequence is ...

an = a1 + d(n -1)

The first term is a1; the common difference is d.

These problems are worked by matching these patterns and identifying the parts.

_____

geometric sequence; first term of 3; common ratio of 4: an = 3 · (4)^(n - 1)

geometric sequence; first term of 4; common ratio of 2: an = 4 · (2)^(n - 1)

arithmetic sequence; first term of 2; common difference 3: an = 2 + 3(n - 1)

arithmetic sequence; first term of 3; common difference 4: an = 3 + 4(n - 1)

an = 2 · (3)n - 1 — not used

an = 4 + 2(n - 1) — not used