A supermarket sells various brands of peanut butter.

Find the first four terms of the sequence given by the following. aₙ=43-3(n-1) n=1,2,3. . .

Serggg [28]

Given :-

The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

The first four terms of the sequence.

Solution :-

The given expression is $/$

→ aₙ=43-3(n-1)

where n > 0

Finding the first term :

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

Finding the second term :

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

Finding the third term :

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

Finding the fourth term :

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .

I hope this helps . Let me know if you need further clarification .

7 0

2 years ago

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the

scoray [572]

9514 1404 393

Answer:

7 forks
20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

1.70x + 1.30y = 37.90

The revenue from sales is ...

5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

Additional working out

The equation coefficients are not "nice" multiples of each other, so elimination and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

ax +by +c = 0

dx +ey +g = 0

is ...

1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

= y/(-37.90·5.60-(-147.20·1.70))

1/1.9 = x/13.3 = y/38

x = 13.3/1.9 = 7 . . . number of forks

y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

a b c a
d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0

2 years ago

SO basically uhh I suck at math

postnew [5]

Ok so you plug them in. -5 squared is 25 minus 27

6 0

3 years ago

Read 2 more answers

What is the difference in minutes of median

REY [17]

<h2>Answer:</h2>

The answer is 25 minutes

<h2>Step-by-step explanation:</h2>

As we see the median time given in minutes before the installation was 53 minutes and after the installation it became 28 so by taking the difference which is 53 - 28 gives us 25 minutes.

8 0

3 years ago

Wx+yz=bc solve for z

Marina86 [1]

Yz= bc - wx
==> z= (bc -wx) / y

5 0

3 years ago

Read 2 more answers