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:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .
12 pigs×4 legs=48 legs
18 chickens×2 legs=36 legs
48 legs+36 legs=84 legs
12 are pigs and 18 are chickens
Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
Answer:
x^2 + 14x + 40.
Step-by-step explanation:
(x+4) (x+10)
= x(x + 10) + 4(x + 10) ( By the Distributive Law)
= x^2 + 10x + 4x + 40
= x^2 + 14x + 40.
Answer:
13p+11.75 is no more than 480
Step-by-step explanation:
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