Questions: 2) -31, -29, -27, -25, ... 4) -13, -5, 3, 11, ... 6) -24, -34, -44, -54, ... 8) -35, -27, -19, -11, ... 10) 3, 11, 19, 27, ... 12) 7, -93, -193, -293, ... 14) -5, -13, -21, -29, ... 16) -9, -4, 1, 6, ... 18) 4, 204, 404, 604, ... 20) -24, -18, -12, -6, ...

Transcript text: 2) $-31,-29,-27,-25, \ldots$ 4) $-13,-5,3,11, \ldots$ 6) $-24,-34,-44,-54, \ldots$ 8) $-35,-27,-19,-11, \ldots$ 10) $3,11,19,27, \ldots$ 12) $7,-93,-193,-293, \ldots$ 14) $-5,-13,-21,-29, \ldots$ 16) $-9,-4,1,6, \ldots$ 18) $4,204,404,604, \ldots$ 20) $-24,-18,-12,-6, \ldots$

Solution

Solution Steps

Solution Approach

The sequence is arithmetic with a common difference of 2. To find the next term, add 2 to the last term.
The sequence is arithmetic with a common difference of 8. To find the next term, add 8 to the last term.
The sequence is arithmetic with a common difference of -10. To find the next term, add -10 to the last term.

Step 1: Sequence 2 Calculation

The given sequence is $ -31, -29, -27, -25 $. This is an arithmetic sequence with a common difference of $ 2 $. To find the next term, we calculate: \[ \text{Next term} = -25 + 2 = -23 \]

Step 2: Sequence 4 Calculation

The given sequence is $ -13, -5, 3, 11 $. This is also an arithmetic sequence with a common difference of $ 8 $. To find the next term, we calculate: \[ \text{Next term} = 11 + 8 = 19 \]

Step 3: Sequence 6 Calculation

The given sequence is $ -24, -34, -44, -54 $. This sequence has a common difference of $ -10 $. To find the next term, we calculate: \[ \text{Next term} = -54 - 10 = -64 \]