Answer:
4cm
Step-by-step explanation:
Given data
L=(2x+3)
W=(x-1)
P=28cm
A= L*W
A= (2x+3)*(x-1)
open bracket
A= 2x^2-2x+3x-3
collect like terms
A= 2x^2+x-3
P= 2L+2W
P= 2*(2x+3)+2(x-1)
P= 4x+6+2x-2
collect like terms
P= 6x-4
but p= 28
28= 6x-4
28-4= 6x
24= 6x
x= 24/6
x= 4cm
Hence x= 4cm
We have been given the sequence 2,3,5,9,17.
We can write the terms of this sequence as
![2=2^0+1\\ 3=2^1+1\\ 5=2^2+1\\ 9=2^3+1\\ 17=2^4+1\\](https://tex.z-dn.net/?f=2%3D2%5E0%2B1%5C%5C%0A3%3D2%5E1%2B1%5C%5C%0A5%3D2%5E2%2B1%5C%5C%0A9%3D2%5E3%2B1%5C%5C%0A17%3D2%5E4%2B1%5C%5C)
From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .
For second term we take exponent 1 on 2 and then add 1 .
For third term we take exponent 2 on 2 and then add 1 .
Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .
Therefore, next term of the sequence is given by
![2^5+1\\ =32+1\\ =33](https://tex.z-dn.net/?f=2%5E5%2B1%5C%5C%0A%3D32%2B1%5C%5C%0A%3D33)
Therefore, the next term is 33.
Using the above facts, the pattern is given by
![a_n=2^{n-1}+1](https://tex.z-dn.net/?f=a_n%3D2%5E%7Bn-1%7D%2B1)
Answer:
271,403 is rounded to 270,000 because the 1403 before it is less than 5000, 4 and below drop it down, 5 or more bump it up.
Step-by-step explanation: