If a = first term and r = common ratio we have
a + ar + ar^2 = 13 and ar^2 / a = r^2 = 9
so r = 3
and a + 3a + 9a = 13
so a = 1
so they are 1,3 and 9
2.
in geometric series we have
4 , 4r ,4r^2 , 60
Arithmetic;
4, 4r , 4r + d , 4r + 2d
so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30
so d = 30 - 2r
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0
2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24
and the numbers are 4*3 = 12 , 4*3^2 = 36
first 3 are 4 , 12 and 36 ( in geometric)
and last 3 are 12, 36 and 60 ( in arithmetic)
The 2 numbers we ause are 12 and 36.
The number you are looking for is 995
To find the reciprocal of a number, just flip the numerator and the denominator around.
A. The reciprocal of 2/3 is 3/2.
C. Firstly, convert the mixed fraction into an improper fraction. Multiply the whole number by the denominator and add the numerator to that product. After that, put the quantity on the numerator. In this case, 6 x 6 = 36 and 36 + 1 = 37, so our improper fraction is 37/6. Next, just flip the numerator and denominator around, and your reciprocal is 6/37.
Answer:
4/9
Step-by-step explanation:
Answer:
923.04 $
Step-by-step explanation:
1 hour: 25.64 $
36 hour: x
x=36×25.64
x=923.04$
