Common ratio, is r=6/3=12/6=2
Answer: common ratio 2
First term a₁ = 3
nth term aₙ = a₁rⁿ⁻¹ = 3 (2ⁿ⁻¹)
13th term = 3(2¹²) = 12288
Answer: 13th term is 12,288
This formula means that a(n) for n, when n is the term number, will give you the term. Meaning, we just have to plug in 55 for n.
a(55) = -1 + 3(55 - 1)
a(55) = -1 + 3 * 54
a(55) = -1 + 162
a(55) = 161
7.25 as a mixed number
7 is a whole number
0.25 is 25/100
7 25/100
As a lowest term, simplify the 25/100
Divide 25 top and bottom
25/25 = 1
100/25 = 4
7 1/4 is your answer
hope this helps
Use the Sine Rule:-
12 / sin 23 = 15 / sin B
sin B = 15 sin 23 / 12
m < B = 29.236 degrees
so m < C = 180 - 23 - 29.236 = 127.76 degrees
Using Sine Rule again:-
12 / sin 23 = c / sin 127.76
c = 12 * sin 127.76 / sin 23
= 24.5 to nearest tenth
The answer is -27a^6b^6c^12
