Answer:
supplement of an angle is what must be added to that angle to get 180
51+supplement=180
minus 51 both sides
supplement=129
answer is 129
Answer would be 7 since 2 is a negative you would subtract it from 9
Answer:
a) ![a_n=5\,\,(2)^{n-1}](https://tex.z-dn.net/?f=a_n%3D5%5C%2C%5C%2C%282%29%5E%7Bn-1%7D)
b) ![b_n=100\,\,(\frac{1}{2} )^{n-1}](https://tex.z-dn.net/?f=b_n%3D100%5C%2C%5C%2C%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7Bn-1%7D)
c) ![c_n=160\,\,(-\frac{1}{2} )^{n-1}](https://tex.z-dn.net/?f=c_n%3D160%5C%2C%5C%2C%28-%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7Bn-1%7D)
Step-by-step explanation:
a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:
![a_n=5\,\,(2)^{n-1}](https://tex.z-dn.net/?f=a_n%3D5%5C%2C%5C%2C%282%29%5E%7Bn-1%7D)
The first five terms are: ![a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80](https://tex.z-dn.net/?f=a_1%3D5%3B%5C%2C%5C%2C%5C%2Ca_2%3D10%3B%5C%2C%5C%2C%5C%2Ca_3%3D20%3B%20%5C%2C%5C%2C%5C%2Ca_4%3D40%3B%5C%2C%5C%2C%5C%2Ca_5%3D80)
b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:
![b_n=100\,\,(\frac{1}{2} )^{n-1}](https://tex.z-dn.net/?f=b_n%3D100%5C%2C%5C%2C%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7Bn-1%7D)
The first five terms are: ![a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25](https://tex.z-dn.net/?f=a_1%3D100%3B%5C%2C%5C%2C%5C%2Ca_2%3D50%3B%5C%2C%5C%2C%5C%2Ca_3%3D25%3B%20%5C%2C%5C%2C%5C%2Ca_4%3D12.5%3B%5C%2C%5C%2C%5C%2Ca_5%3D6.25)
c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:
![c_n=160\,\,(-\frac{1}{2} )^{n-1}](https://tex.z-dn.net/?f=c_n%3D160%5C%2C%5C%2C%28-%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7Bn-1%7D)
The first five terms are: ![a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10](https://tex.z-dn.net/?f=a_1%3D160%3B%5C%2C%5C%2C%5C%2Ca_2%3D-80%3B%5C%2C%5C%2C%5C%2Ca_3%3D40%3B%20%5C%2C%5C%2C%5C%2Ca_4%3D-20%3B%5C%2C%5C%2C%5C%2Ca_5%3D10)
Well 32 x 405 is 12,960, but it ask for 2 numbers added to make 12,960 so the answer is 810 + 12,150 which is 2 products that add up to the answer 12,960.
Answer:
it is 8 if i substitute x for 3
Step-by-step explanation: