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andrew11 [14]
3 years ago
10

To describe a specific arithmetic sequence, Elijah wrote the recursive formula:

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

Y(n) = 7n + 23

Step-by-step explanation:

Given:

f(0) = 30

f(n+1) = f(n) + 7

For n=0 : f(1) = f(0) + 7

For n=1 :  f(2) = f(1) + 7

For n=2 : f(3) = f(2) + 7 and so on.

Hence the sequence is an arithmetic progression with common difference 7 and first term 30.

We have to find a general equation representing the terms of the sequence.

General term of an arithmetic progression is:

T(n) = a + (n-1)d

Here a = 30 and d = 7

Y(n) = 30 + 7(n-1) = 7n + 23

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Five more than three times a number is three hundred five.Find the number ​
Sholpan [36]

Answer:

15

Step-by-step explanation: trust me i have had the before

7 0
2 years ago
The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread
TiliK225 [7]

P = 154\\a = 2b + 2

a = ?; b = ?

P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4

154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25

a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52

Answer: 25 and 52 m.

3 0
2 years ago
Lily has walked 2 miles. Her goal is to 6 miles. Lily plans to reach her goal by walking 3 miles each hour h for the rest of her
suter [353]

Step-by-step explanation:

if she did that she would have walked 36 miles multipy all of the numbers and theres ur answer i think i am so tired so if its wrong i am sooo sorry i havent slept in two days.... hope u have a better day than mine

4 0
3 years ago
Pleaseee helppp with thissss asapppp
Natasha2012 [34]

As we know that the standard equation of circle is {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>

Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}

{:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}

{:\implies \quad \sf 9+16=r^{2}}

After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>

Now , putting values in our standard equation ;

{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}

<em>This is the required equation of </em><em>Circle</em>

Refer to the attachment as well !

8 0
2 years ago
Simplify 72 meters over1.5 cenimeters
trasher [3.6K]
We have 1 m = 100cm
          ⇒ 72 m = 7200 cm 
          ⇒ 7200 / 1.5= 4800 cm = 48 m
7 0
3 years ago
Read 2 more answers
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