Answer:
Step-by-step explanation:x y = 4 x - y = 6 = get you some b1tc1es
The is answer is 324. The previous number is multiplied by -3.
Answer:
14
Step-by-step explanation:
The question is asking for the value of A when n = 2
So we just need to plug in 2 for n
A(2) = 10 + (<em>2</em>-1)(4) = 10 + (1)(4) = 10 +4 = 14
Let gcd(8n + 3, 5n + 4) = d
⟹d|8n+3∧d|5n+4
⟹d|8(5n+4)−5(8n+3)
⟹d|17
Therefore highest common factor of 8n + 3 and 5n + 4 is either 1 or 17 for all n
learn more of gcd here brainly.com/question/25550841
#SPJ9
There may be more brilliant solution than the following, but here are my thoughts.
We make use of Euclid's algorithm to help us out.
Consider finding the hcf of A=2^(n+x)-1 and B=2^(n)-1.
If we repeated subtract B from A until the difference C is less than B (smaller number), the hcf between A and B is the same as the hcf between B and C.
For example, we would subtract 2^x times B from A, or
C=A-2^xB=2^(n+x)-2^x(2^n-1)=2^(n+x)-2^(n+x)+2^n-1=2^n-1
By the Euclidean algorithm,
hcf(A,B)=hcf(B,C)=hcf(2^n-1,2^x-1)
If n is a multiple of x, then by repetition, we will end up with
hcf(A,B)=hcf(2^x-1,2^x-1)=2^x-1
For the given example, n=100, x=20, so
HCF(2^120-1, 2^100-1)=2^(120-100)-1=2^20-1=1048575
(since n=6x, a multiple of x).
