Simplify the expression: 52-[30-2(7-x)]
2 answers:
You might be interested in
Given:
a₁ = 1
Therefore
a₂ = 1/2
a₃ = (1/2)*(1/2) = (1/2)²
...
Also,
b₁ = a₁
Therefore
b₁ = 1
b₂ = b₁ + a₂ = 1 + (1/2)
b₃ = b₂ + a₃ = 1 + 1/2 + (1/2)²
...
This is the sum of a geometric sequence with common ratio r=1/2.
The 50th term is
![b_{50} = 1 + \frac{(1/2)[1-(1/2)^{49}]}{1-(1/2)} =2](https://tex.z-dn.net/?f=b_%7B50%7D%20%3D%201%20%2B%20%20%5Cfrac%7B%281%2F2%29%5B1-%281%2F2%29%5E%7B49%7D%5D%7D%7B1-%281%2F2%29%7D%20%3D2)
The 1000000th term is
![b_{1000000} = 1 + \frac{(1/2)[1-(1/2)^{999999}]}{1-(1/2)}=2](https://tex.z-dn.net/?f=b_%7B1000000%7D%20%3D%201%20%2B%20%20%5Cfrac%7B%281%2F2%29%5B1-%281%2F2%29%5E%7B999999%7D%5D%7D%7B1-%281%2F2%29%7D%3D2%20)
a₁ = 1
Therefore
a₂ = 1/2
a₃ = (1/2)*(1/2) = (1/2)²
...
Also,
b₁ = a₁
Therefore
b₁ = 1
b₂ = b₁ + a₂ = 1 + (1/2)
b₃ = b₂ + a₃ = 1 + 1/2 + (1/2)²
...
This is the sum of a geometric sequence with common ratio r=1/2.
The 50th term is
The 1000000th term is