According to the statement,
(5/6)a - (1/3)a = 13
(5 - 2) a / 6 = 13
a = 26 gallons
So a1 is the first term and d is like basically how many you move up so 1/3 would be your first term but your a2 (2nd term) would be 5/6 hope this helps :)
Answer:
<h2>
a(n) = -2*(3)^(n-1)</h2>
Step-by-step explanation:
The sequence -2, -6, -18, -54, ... is a geometric one, since each new term is 3 times the previous term. In other words, 3 is the common ratio.
The general formula for a geometric sequence is
a(n) = a(1)*(r)^(n - 1), where r is the common ratio and a(1) is the first term.
Here,
a(n) = -2*(3)^(n-1)
Total distance = sum of velocity * time for both legs of the journey; let the time taken in air be t hence time taken in water is 12-t 127 = 16*t + 3(12-t) 127 = 16t + 36 - 3t 127 - 36 = 16t - 3t 91 = 13t t = 91/13 = 7 seconds Hence time taken in air = 7 seconds time taken in water is 12 - 7 =<span> 5 seconds</span> checking; 16*7 + 3*5 = 127