Arithmetic Sequences & Explicit Formula

Define common difference.

• the product between two consecutive terms of a geometric sequence.

• the product between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of a geometric sequence.

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes
• No

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes
• No

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81
• 79, 88, 97
• 70, 79, 88
• 61, 70, 79

Find the pattern: -34, -29, -24, -19, ...

• -5

• +5

• -6

• +6

Find the pattern: 29, 21, 13, 5, ...

• -10

• -9

• -8

• -7

The next term of the series 11, 8, 5, 2 are

• -1

• -2

• 1

• 2

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6