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trasher [3.6K]
3 years ago
9

List the rst 10 terms of each of these sequences. a) the sequence obtained by starting with 10 and obtaining each term by subtra

cting 3 from the previous term b) the sequence whose nth term is the sum of the rst n positive integers c) the sequence whose nth term is 3n −2n d) the sequence whose nth term is√n e) the sequence whose rst two terms are 1 and 5 and each succeeding term is the sum of the two previous terms
Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

a) 10, 7, 4, 1, -2, -5, -8, -11, -14, -17.

c)  1, 2, 3 4 5 6 7 8 9 10.

d) √1 , √2, √3  √4 , √5, √6  √7 , √8, √9 √10.

e)     1, 5, 6, 11, 17, 28, 45, 73, 118, 191.

Step-by-step explanation:

a)  10, 10-3 , 10-3-3...

c)  3(1)- 2(1) , 3(2) - 2(2), 3(3) - 2(3),  3(4) - 2(4) ..

= 1, 2, 3, 4...

d) √1 , √2, √3 ...

e)  1, 5,  (5+6), (5 + 11)...

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9.) Ezri earns $10 per day plus $25 for every lawn she mows. How many lawns does she need to mow today to earn $135? First, writ
vredina [299]

Answer:

5 lawns

Step-by-step explanation:

Firstly, the equation is 25x + 10 = 135

Ezri makes $25 for every lawn she mows (25x) and has an automatic $10 per day (10). In order to make $135 we take what she makes each day and set it equal to 135.

To solve, we subtract 10 from both sides to create 25x = 125. We then divide 25 from both sides to get x=5. This means that Ezri needs to mow 5 lawns in order to make $135.

I hope this is helpful to you!

**To anyone out there seeing this - let me know if you think I made a mistake and I will fix it.**

7 0
3 years ago
Which value is needed in the expression below to create a perfect square trinomial?
Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression x^{2}+8x as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.  

The identity for (a+b)^{2} is given as follows:  

(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)

<u>Step 1:  </u>

Break down the given polynomial x^{2}+2\times(x)\times(4).

<u>Step 2:  </u>

Now compare the polynomial with the above indentity.  

On comparing it is observed that the value of a is x and the value of b is 4.  

<u>Step 3:  </u>

In order to make the polynomial x^{2}+8x+ a perfect square, add 16 to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.  

x^{2}+2\times(x)\times4+16  

<u>Step 4:</u>  

Now as per the identity (a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2} the polynomial x^{2}+2\times(x)\times4+16 is written as follows:  

(x+4)^{2}.  

Therefore, the perfect square for the given polynomial is (x+4)^{2} which is created by adding 16 to the given expression.  

Learn more:  

  1. A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667  
  2. A problem to obtain the binomial and trinomial brainly.com/question/1394854  

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Quadratic expression  

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

6 0
3 years ago
Read 2 more answers
Simplify the following expression and write in standard form: 3 x (6y - 4y + 5x) PLEASE HELP
mylen [45]

Answer: 15x^2+6xy

Step-by-step explanation: 3x(6y−4y+5x)

(3x)(6y+−4y+5x)

(3x)(6y)+(3x)(−4y)+(3x)(5x)

18xy−12xy+15x^2

15x^2+6xy

8 0
3 years ago
Evaluate.<br> 33 + 11 -10 + 2 x4<br> w=__<br> ao
jarptica [38.1K]
I believe it would be 144 :)
6 0
4 years ago
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds
djyliett [7]

Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

6 0
3 years ago
Read 2 more answers
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