If the tiger has consumed 105 pounds of food in 7 days that's \( \frac{105}{7} \) = 15 pounds of food per day. The tiger needs to consume 210 - 105 = 105 more pounds of food to reach 210 pounds total. At 15 pounds of food per day that's \( \frac{105}{15} \) = 7 more days.

The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 have in common.

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 8 factors [1, 2, 4, 7, 8, 14, 28, 56] making 56 the greatest factor 56 and 56 have in common.

The equation for this sequence is:

a_n = a_n-1 + 3

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3
a₆ = 13 + 3
a₆ = 16

The greatest common factor (GCF) is the greatest factor that divides two integers.