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 answer is 1/20 or 0.05
What is the question, are we supposed to find the value of "u"? If so, than u is equal to 6 6/7.
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:

Thus,
So, the first tem
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:





Therefore, 131 seats are in the 30th row.
Answer:
Place the decimal before the last digit in both number i.e. 1602.3 and 65.4
Step-by-step explanation:
We are given the numerical expression 16023÷654.
Here, we have,
Dividend = 16023
Divisor = 654
it is required that the quotient of the division to be between 23 and 25.
If we take the numbers,
1602.3 and 65.4
This gives us,
.
Hence, placing the decimal before the last digit in both number will give the desired result.