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3 years ago

Write the next three terms of the arithmetic sequence 1,12,23,34

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

9514 1404 393

Answer:

45, 56, 67

Step-by-step explanation:

Terms of an arithmetic sequence have a common difference. That is, the next term is found by adding that difference to the previous term.

Here, the difference is 12 -1 = 11, so each term is 11 more that the previous one. The next terms are found by repeatedly adding 11.

34 + 11 = 45

45 + 11 = 56

56 + 11 = 67

The next three terms are 45, 56, 67.

You might be interested in

Instructions: Simplify the algebraic expression.<br><br> −12(32x−10y)

allochka39001 [22]

Answer:

-384x - 120y

Step-by-step explanation:

General Concepts and Formulas:

Brackets

Parentheses

Exponents

Multiplication

Division
Addition
Subtraction

Steps:

1) Distribute

$-12(32x-10y)$

We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.

So first, multiple -12 by 32 and add the variable 'x' when getting the product:

-12(-384x - 10y)

Now that we have one part, let's solve the other part.

We now must multiple -12 by -10, which gets us 120, now we must plug in:

(-384x - 120y)

(Remove parenthesis)

⇒ -384x - 120y

4 0

1 year ago

Complete the table and show work

Alinara [238K]

So the formula for this is for every inch of width, you multiply by 2 to get the length.

Here, I made a table for it.

2×2=4

4×2=8

7×2=14

8×2=16 or 16÷2=8

5 0

3 years ago

Read 2 more answers

Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar

AleksandrR [38]

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

$d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft$

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

8 0

3 years ago

Bags of maple granola cost $2 more than apple granola

Brilliant_brown [7]

Answer:

a + m = 2+ a

Step-by-step explanation:

We don't know the amount of apple granola and the amount of the maple granola. So we just set an equation.

3 0

3 years ago

What are the solutions of x2 - 2x +37 = 0 ?

ale4655 [162]

Answer:

-39/2 or -19 1/2

Step-by-step explanation:

3 0

3 years ago