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V125BC [204]
3 years ago
8

Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c

omma, 4, comma, 1, comma, point, point, point. Woo-Jin said the formula is f(n)
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
5 0

Answer:

f(n)=64(\frac{1}{4})^{n-1}

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}

r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}

r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}

It is a geometric series because it has a common ratio r_1=r_2=r_3=\dfrac{1}{4}.

First term is 64.

The explicit formula of a geometric series is

f(n)=ar^{n-1}

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

f(n)=64(\frac{1}{4})^{n-1}

Therefore, the required explicit formula is f(n)=64(\frac{1}{4})^{n-1}.

VLD [36.1K]3 years ago
4 0

Answer:

Neither Woo-Jin nor Kiran

Step-by-step explanation:

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joja [24]

Answer:

42

Step-by-step explanation:

Hey There!

Angle 3 and Angle 4 are a pair of supplementary angles meaning that added together they will equal 180

So if angle 4 is given to find angle 3 all we have to do is subtract the angle that is given from 180

180-138=42

Therefore angle 3 = 42

4 0
3 years ago
An isosceles trapezoid has a perimeter of 33 feet. Its shorter base measures 5 feet and its longer base measures 6 feet. The two
xz_007 [3.2K]

Answer:

The other two sides are both 11 ft long

Step-by-step explanation:

you would add 5 plus 6 which gives you 11

then, subract 33 from 11 which gives you 22

then divied 22 by two which will tell you that both sides of the triangle are 11 ft long.

7 0
3 years ago
The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to
AURORKA [14]

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem (a^{2}+b^{2}=c^{2} [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

13^{2} = 169

4^{2} =16

169-16=153.

\sqrt{153} ≈ 12

or

\sqrt{153}=12.36931688

or if the problem has to be exact (using radicals)

3*\sqrt{17}

I hope this helps ;)

8 0
2 years ago
What % of $30 is $21?
Black_prince [1.1K]

Answer:

70

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The triangle below has a perimeter of 27 cm.
hodyreva [135]

Answer:

9 cm

Step-by-step explanation:

27 / 3 =9 cm

The total periméter is 27 and it has 3 sides so just divide

6 0
3 years ago
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