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MrMuchimi
2 years ago
9

If a_1=4a 1 ​ =4 and a_n=(a_{n-1})^2+5a n ​ =(a n−1 ​ ) 2 +5 then find the value of a_3a 3 ​ .

Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

The value of a3 for the given recursive pattern is 446

<h3>Sequence</h3>

A sequence can either follow an arithmetic progression or geometric progression or none

<h3>The terms</h3>

The given parameters are:

a_1 = 4

a_n = (a_{n-1})^2 + 5

Start by calculating a2

a_2 = (a_{2-1})^2 + 5

a_2 = (a_1)^2 + 5

Substitute 4 for a1

a_2 = 4^2 + 5

a_2 = 21

Next, calculate a3

a_3 = (a_{3-1})^2 + 5

a_3 = (a_{2})^2 + 5

Substitute 21 for a2

a_3 = 21^2 + 5

a_3 = 446

Hence, the value of a3 is 446

Read more about sequence and patterns at:

brainly.com/question/15590116

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Convert 22.625 into a fraction
VladimirAG [237]

Answer:

22 5/8

Step-by-step explanation:

5 0
3 years ago
Y=6-x In this case, what would be the slope and y-intercept? I'm having a hard time trying to get it to the y=mx+b format.
frutty [35]

Answer:

Slope = \frac{-1}{1} or -1

y = 6

Step-by-step explanation:

The equation given (y = 6 - x) is the same as saying

y = -1x + 6

Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be

Slope = \frac{-1}{1} or -1

While the y-intercept would be

y = 6 - x

y = 6 - 0

y = 6

4 0
2 years ago
Find the point-slope form of the line passing through the given points (1,2) and (6,-13) . Write an equation in slope-intercept
QveST [7]

y=-3x-5................................

6 0
3 years ago
Can anyone help me to solve these 2 questions please <br>I need very clear steps !!!!
DochEvi [55]
Hope this helps you

4 0
3 years ago
When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.
raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9      

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

                   x = 24

So the larger fraction will become: x/y =24/7      

  • Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

3 0
3 years ago
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