How do I solve this?

Mathematics

2 answers:

Leya [2.2K]3 years ago

5 0

Hi there!

Let's start by looking at our like terms:
12 and 7
2v and 7v
13v^3 and 13v^3

Since all of those terms are like each other, they can be added together. The terms that are being cubed can only be added to other terms being cubed because otherwise things would be a bit messed up. Here's what we can add together:
12 + 7 = 19
2v + 7v = 9v
13v^3 + 13v^3 = 26v^3

Now, we need to organize the terms in the expression like this - variable and cubed, just a variable, number. Using that our expression ends up being:
26v^3 + 9v + 19

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

FinnZ [79.3K]3 years ago

4 0

(12 + 2v + 13v^3) + (13v^3 + 7 + 7v)
12 + 2v + 13v^3 + 13v^3 + 7 + 7v - drop the parenthesis since adding
13v^3 + 13v^3 + 7v + 2v + 12 + 7 - Group by like terms
26v^3 + 9v + 19 - combine like terms

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Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ... Write a recursive definition.

Amiraneli [1.4K]

The first term is 8, so $a_{1} = 8$

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: $a_{n} = 3 + a_{n-1}$ which says "to get the nth term, add 3 to the term just before the nth term"