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Anarel [89]
3 years ago
12

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that  :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹

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starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10mph. He then travelled back home along the sam
SashulF [63]

Answer:

average speed for the entire trip is 15 mph

Step-by-step explanation:

Let x be the uphill speed and y be the downhill speed.

We have been given that

Speed of Omar in uphill to reach gift store = x =10 mph

Speed of Omar in downhill to reach his home = y = 30 mph

We know the formula for average speed for the entire trip

\text{Average speed }=\frac{2xy}{x+y}\\\\=\frac{2\times 10\times 30}{10+30}\\\\=\frac{600}{40}\\\\=15

Therefore, average speed is 15 mph


6 0
3 years ago
Read 2 more answers
On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance betw
Scorpion4ik [409]

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

8 0
3 years ago
The sum of two numbers is 92 their difference is 20 find the numbers
Ira Lisetskai [31]
92 - 20 = 72
72 / 2 = 36
36 + 20 = 56 
36 + 56 = 92

So 36 and 56 are your answer

6 0
3 years ago
Which expression can be used to find the value of expression below -(7/10) + 2/8 + 1/10 - (4/8)
maks197457 [2]

Answer:

(-17)/20

Step-by-step explanation:

Simplify the following:

-7/10 + 2/8 + 1/10 - 4/8

The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:

-7/10 + 1/4 + 1/10 - 4/8

The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:

-7/10 + 1/4 + 1/10 + -1/2

Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:

(2 (-7))/20 + 5/20 + 2/20 - 10/20

2 (-7) = -14:

(-14)/20 + 5/20 + 2/20 - 10/20

-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:

(-14 + 5 + 2 - 10)/20

-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):

((5 + 2) - (14 + 10))/20

5 + 2 = 7:

(7 - (14 + 10))/20

| 1 | 4

+ | 1 | 0

| 2 | 4:

(7 - 24)/20

7 - 24 = -(24 - 7):

(-(24 - 7))/20

| 1 | 14

| 2 | 4

- | | 7

| 1 | 7:

Answer: (-17)/20

4 0
3 years ago
What is the answer to X/9-1=4?
allsm [11]
X=32
Explanation: X/9-1=4
X/8=4
8x4=32
5 0
3 years ago
Read 2 more answers
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