Question

Match the common difference:

a) 5, 7, 9
b) 14, 11, 8
c) -13, -18, -23
d) Cannot be determined from the given information

Answer 1

The common differences for the arithmetic sequences listed are as follows: for sequence (a) the common difference is 2, for sequence (b) it is -3, and for sequence (c) it is -5. Sequence (d) is not applicable.

Step-by-step explanation:

The student is asking to match the common difference in a sequence. In mathematics, a sequence with a common difference is known as an arithmetic sequence, where each term after the first is found by adding the common difference to the previous term.

• For sequence (a) 5, 7, 9, the common difference is 2 (7 - 5 = 2).
• For sequence (b) 14, 11, 8, the common difference is -3 (11 - 14 = -3).
• For sequence (c) -13, -18, -23, the common difference is -5 (-18 - (-13) = -5).

There is no sequence (d) provided, so it's not applicable.