Smaller Number is S
Larger Number is S + 13
Smaller # + Larger # = 61
S + S + 13 = 61
2S + 13 = 61
2S = 61 - 13
2S = 48
S = 48/2
S = 24
Larger # = S + 13
Larger # = 24 + 13
Larger # = 37
Check. .. 24 + 37 = 61. CORRECT!
Smaller Number is 24
Larger Number is 37
Answer:
$5
Step-by-step explanation:
So we know that altogether Michael paid $12 right?
So if his brother's price is x then his price is x+2
so 2x+2=12 x=5
Michael's brother's price was $5
and his was $7
----------------------------------------
Apply distributive property :
----------------------------------------
5(a + 4) = 5a + 20 (Answer D)
Answer:
<h2>
![\bold{a_n=2\cdot(-2)^{n-1}}\\\\or\\\\\bold{a_n=(-1)^{n-1}\cdot2^{n}}](https://tex.z-dn.net/?f=%5Cbold%7Ba_n%3D2%5Ccdot%28-2%29%5E%7Bn-1%7D%7D%5C%5C%5C%5Cor%5C%5C%5C%5C%5Cbold%7Ba_n%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn%7D%7D)
</h2>
Step-by-step explanation:
-4÷2 = -2
8÷(-4) = -2
-16÷8 = -2
So this is a geometric sequence with the first term of 2 and a common ratio of -2
the nth term of a geometric sequence: ![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
Therefore:
![a_n=2\cdot(-2)^{n-1}\\\\a_n=2\cdot(-1\cdot2)^{n-1}=2\cdot(-1)^{n-1}\cdot2^{n-1}=(-1)^{n-1}\cdot2^{n-1+1}\\\\a_n=(-1)^{n-1}\cdot2^{n}](https://tex.z-dn.net/?f=a_n%3D2%5Ccdot%28-2%29%5E%7Bn-1%7D%5C%5C%5C%5Ca_n%3D2%5Ccdot%28-1%5Ccdot2%29%5E%7Bn-1%7D%3D2%5Ccdot%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn-1%7D%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn-1%2B1%7D%5C%5C%5C%5Ca_n%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn%7D)