Question

1. 21, 26, 31, 36, ...
2. 6, 106, 206, 306, ...
3. -36, -26, -16, -6, ...
4. -36, -41, -46, -51, ...
5. -37, -35, -33, -31, ...
6. -20, -24, -28, -32, ...

Explanation:

Step1: Identify common difference (19)

$d = 26 - 21 = 5$
Next term: $36 + 5 = 41$

Step2: Identify common difference (20)

$d = 106 - 6 = 100$
Next term: $306 + 100 = 406$

Step3: Identify common difference (21)

$d = -26 - (-36) = 10$
Next term: $-6 + 10 = 4$

Step4: Identify common difference (22)

$d = -41 - (-36) = -5$
Next term: $-51 + (-5) = -56$

Step5: Identify common difference (23)

$d = -35 - (-37) = 2$
Next term: $-31 + 2 = -29$

Step6: Identify common difference (24)

$d = -24 - (-20) = -4$
Next term: $-32 + (-4) = -36$

Answer:

1. 41
2. 406
3. 4
4. -56
5. -29
6. -36