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2 years ago

The first four terms of a sequence are shown below 9,5,1,-3

Mathematics

1 answer:

Debora [2.8K]2 years ago

8 0

Answer:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

9, 5, 1, -3

We can easily calculate the difference of terms:

-3- 1= 1- 5= 5-9= -4

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

f(1)= 9, as the first term is 9
f(n+1)= f(n)- 4, as it is decreasing function with the difference of -4
n ≥ 1, as we count from the first term on

All the above matches the first answer choice:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

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GenaCL600 [577]

Answer:

-1

Step-by-step explanation:

-3-2=-5

4-(-1)=5

-5/5 simplifies to -1

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2 years ago

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NikAS [45]

Answer:

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3 years ago

How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is one.

8 0

3 years ago

g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

2 years ago

13 can someone please explain this

Lady bird [3.3K]

Answer:

Step-by-step explanation:

13).

This is an equilateral triangle.

We see that all 3 angles are equal, so all sides are equal also.

So 2x - 6 = 10

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x = 8.

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2 years ago

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