Answer:

Step-by-step explanation:
Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

Here, a is the first term.
r is the common ratio.
r = second term ÷ first term
4, 8,16,32,64,.....
a = 4
r = 8 ÷4 = 2



8a - 4 = 25 + 6 (a - 8)
(distribute the 6)
8a - 4 = 25 + 6a - 48
(combine like terms 25 - 48)
8a - 4 = 6a - 23
( subtract 6a from both sides)
2a - 4 = -23
(add 4 to both sides)
2a = -19
(divide both sides by 2)
a = - 9.5
////CHECK/////
8 (-9.5) - 4 = 25 + 6 ( -9.5 -8)
(plug each side into a calculator)
-80 = -80
FINAL ANSWER:
a = -9.5
Answer:
Speeding at 160.934 km/hr
Step-by-step explanation:
1 mile = 1.609344 kilometers
1.609344 * 100 = 160.934 kilometers
The LCM of the denominators is 120. In other words, the denominators can multiply to 120.
3 * 40 = 120
40 * 2 = 80
Tigers: P = 80/120
24 * 5 = 120
24 * 4 = 96
Redbirds: P = 96/120
8 * 15 = 120
3 * 15 = 45
Bulldogs P = 45/120
60 * 2 = 120
60 * 1 = 60
Titans P = 60/120
Answer
Tigers: P = 80/120
Redbirds: P = 96/120
Bulldogs: P = 45/120
Titans: P = 60/120