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Vinvika [58]
4 years ago
15

Find an explicit formula for g(n)

Mathematics
1 answer:
Elina [12.6K]4 years ago
6 0

Answer:

g(n) = 2n + 49

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

g(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given the recursive formula

g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then

g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula

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Which expression is equivalent to x8 - 256?
lyudmila [28]
We have that
case <span>A)
(x – 2)(x + 2)(x</span>²<span> + 8)(x4 + 8) 
(x</span>²-4)(x² + 8)(x4 + 8)

case <span>B)
(x – 2)(x – 2)(x</span>²<span> + 4)(x4 + 16) 
(x-2)</span>²(x² + 4)(x4 + 16) 

case <span>C)
(x – 2)(x + 2)(x</span>²<span> + 4)(x4 + 16) 
(x</span>²-4)(x² + 4)(x4 + 16)
(x4 -16)(x4 + 16)
(x8-256)

case <span>D)
(x + 2)(x + 2)(x</span>²<span> + 4)(x4 + 16)
(x+2)</span>²(x² + 4)(x4 + 16)

the answer is
the option 
<span>C) (x – 2)(x + 2)(x2 + 4)(x4 + 16) </span>
8 0
4 years ago
I’ll give brainliest or whatever it’s called
Alex787 [66]
I think it’s -3+-5=-8. I’m not for sure though.
6 0
4 years ago
Help me, please! It's due tomorrow!
anyanavicka [17]

Answer:

m=y2-y1 / x2-x1

m=15-20 / 1-0

m=-5 / 1

m=-5

y=mx+b

20=-5*0+b

20=0+b

20=b

y=-5x+20

8 0
3 years ago
The ratio of the measures of the size of a triangle is 6:7:9 and it's perimeter is 77 cm find the measure of each side of the tr
ser-zykov [4K]

Answer:

21 CM

24.5 cm

31.5 cm

Step-by-step explanation:

Measure of each side = (ratio of each side / sum of ratios) x perimeter

Sum of ratios = 6 + 7 + 9 = 22

6/22 x 77 = 21 cm

7/22 x 77 = 24.5 cm

9/22 x 77 = 31.5 cm

7 0
3 years ago
The key of a basketball court is made up of a rectangle and one semicircle. The length of the rectangle is 15 feet and the width
Gala2k [10]

Answer:

150 feet

Step-by-step explanation:

I found this because the area is length × width so that would be

10 × 15 = 150

or

L × W = A

3 0
3 years ago
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