First, solve for \( \left|a + 1\right| \):

\( \left|a + 1\right| \) + 0 = -1
\( \left|a + 1\right| \) = -1 + 0
\( \left|a + 1\right| \) = -1

The value inside the absolute value brackets can be either positive or negative so (a + 1) must equal - 1 or --1 for \( \left|a + 1\right| \) to equal -1:

So, a = 0 or a = -2.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 50.4km + 9.4km
total distance = 59.9km

The equation for this sequence is:

a_n = a_n-1 + 4

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 + 4
a₆ = 17 + 4
a₆ = 21

If the tiger has consumed 84 pounds of food in 6 days that's \( \frac{84}{6} \) = 14 pounds of food per day. The tiger needs to consume 126 - 84 = 42 more pounds of food to reach 126 pounds total. At 14 pounds of food per day that's \( \frac{42}{14} \) = 3 more days.