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Anit [1.1K]
2 years ago
13

If a₁ = 4 and an = 5an-1 then find the value of a5.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
5 0

The value of a_{5} is 2500, when a_{1}=4 and 5a_{n-1}.

Given that, a_{1}=4 and 5a_{n-1}.

We need to find the value of a_{5}.

<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of a_{5} :

a_{2} =5a_{2-1}=5a_{1}=5 \times4=20

a_{3} =5a_{3-1}=5a_{2}=5 \times20=100

a_{4} =5a_{4-1}=5a_{3}=5 \times100=500

a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500

Therefore, the value of a_{5} is 2500.

To learn more about arithmetic sequence visit:

brainly.com/question/15412619.

#SPJ1

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The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?
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Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

7 0
3 years ago
7<br> a. 49<br> b. 98<br> c. 12<br> 14<br><br><br> I need the area!!
sp2606 [1]

Answer:

49

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

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A =49

3 0
3 years ago
Read 2 more answers
If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

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3 years ago
Which relationship describes angles 1 and 2?
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Conplementary angles
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What is the difference between these two expressions?
mariarad [96]

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

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