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Oksi-84 [34.3K]
2 years ago
15

1; 4; 16; 64; ...what is the general term ​

Mathematics
1 answer:
Alborosie2 years ago
8 0

Given:

The sequence is

1, 4, 16, 64

To find:

The general term of the given sequence.

Solution:

We have, the sequence

1, 4, 16, 64

Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.

First term is:

a=1

Common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{4}{1}

r=4

The nth term of a geometric sequence is

a_n=ar^{n-1}             ...(i)

Where, a is the first term and r is the common ratio.

Putting a=1 and r=4 in (i), we get

a_n=(1)(4)^{n-1}

a_n=4^{n-1}

Therefore, the general term of the given sequence is a_n=4^{n-1}.

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Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a
tatiyna

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

7 0
3 years ago
What year did i start high school if i graduate in 2017?
Karolina [17]
Obviously, 2013. 2013-2014 (1 year) 2014-2015 (2 years) etc etc
5 0
3 years ago
Find the equation of a line parallel to the given line in passing through the given point
svetoff [14.1K]

Answer:

Step-by-step explanation:

y = mx + b

The line y = 3 is a horizontal line with slope zero

y = 0x + 3

All parallel lines will also have a slope zero

a parallel line passing through (-2, 7) will have the equation

y = 0x + 7

y = 7

7 0
2 years ago
Use the distributive property to find a equivalent expression for 6(x+4)
MArishka [77]

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

5 0
3 years ago
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