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Georgia [21]
3 years ago
7

Recursive formula for 26, 24, 22, 20

Mathematics
1 answer:
dexar [7]3 years ago
4 0

Answer:

a_n = 28-2n

Step-by-step explanation:

Given sequence is:

26,24,22,20

We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence

The standard formula for arithmetic sequence is:

a_n = a_1+(n-1)d

Here,

a_n is the nth term

a_1 is the first term

and d is the common difference

So,

d = 24-26

= -2

a_1 = 26

Putting the values of d and a_1

a_n = 26 + (n-1)(-2)\\a_n = 26-2n+2\\a_n = 28-2n

Hence, the recursive formula for given sequence is: a_n = 28-2n ..

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Jackie bougth red and green binders and paid $2.25 for each red binder and $3.24 for each green binder and spent a total of $21.
Alenkasestr [34]

Answer:

4 each of red and green binders.

Step-by-step explanation:

Given: Price of each red binder is $2.25.

           Price of each green binder is $3.24.

           Total Jackie paid is $21.96.

Lets assume the number of red binder bought be "x".

∴ Total amount paid for red binder= number\ of\ red\ binder \times price\ for\ each\ red\ binder

⇒ Total amount paid for red binder= x\times \$ 2.25= \$ 2.25x

Now, finding the amount paid for green binder.

As we know the total amount paid by Jackie is $21.96 and she bought same number for each binder.

Jackie paid for x number of green binder= \$ 3.24\times x= \$ 3.24x

Next, we can write an equation on total amount paid for Green binder to find value of x.

∴ \$ 21.96-\$ 2.25x= \$ 3.24x

Solving the equation.

\$ 21.96-\$ 2.25x= \$ 3.24x

Adding both side by \$ 2.25x

⇒ \$ 21.96= \$ 3.24x+\$ 2.25x

⇒ \$ 5.49x = \$ 21.96

cross multiplying both side.

⇒ x= \frac{21.96}{5.49} = 4

∴ x= 4

Hence, Jackie bought 4 each of red and green binders as she bought same number of each binders.

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Step-by-step explanation:

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