Answer:
1/3
Step-by-step explanation:
the formula of common ratio is given as

a1= 27 ,a2=9
r= 9/27
r= 1/3
Answer:
Step-by-step explanation:
Slope m = (-8-2)/(1+1)=-10/2 = -5
Perpendicular slope-1/m = -1/-5 = 1/5
Equation of a line with perpendicular slope is
y-y1=(-1/m)(x-x1)
y - 2 = (1/5)(x+1)
y =2 +(1/5)(x+1)
This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.
a(n) = a(1)*(r)^(n-1).
Check: If n=2 our formula must return -1/2. Does it?
a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.
Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)
Answer:
<em>The PIN is 1147</em>
Step-by-step explanation:
<u>Prime numbers</u>
These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

Thus, the first prime to consider is 31. Write the consecutive primes from 31:
31 , 37 , 41 , 43
We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147