All categories

4 years ago

Find the recursive formula of the arithmetic sequence 14,30,46,62

Mathematics

1 answer:

dexar [7]4 years ago

4 0

Answer:

$a_n=a_{n-1}+16$

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

$a_1=14$

The common distance is obtained by subtracting a subsequent term from a previous term;

d=30-14

The common difference is

d=16

The recursive formula is given by:

$a_n=a_{n-1}+d$

We now plug in the known value for the common difference to get;

$a_n=a_{n-1}+16$

You might be interested in

5. Jack has decided to give away 20% of his

Brrunno [24]

Answer:

1280

Step-by-step explanation:

7 0

3 years ago

Plz help me with 49 & 50 plz who can help in 2 mins will br marked as brainlientiest

S_A_V [24]

49. 100-36= how many girls in percent
= 64%
64%= 16 girls
64/100=16/x
cross multiply
1600=64x
x=25

7 0

3 years ago

Helppppppppppp:)))))))))

Whitepunk [10]

Hi there!

We are given the set of ordered pairs below:

$\large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}$

1. What is the domain?

Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

4 0

3 years ago

ALGEBRA

Lyrx [107]

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

6 0

3 years ago

Read 2 more answers

8 people eat at Charlie Brown's for Thanksgiving. How many different seating

never [62]

Answer: 40,320

Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!

4 0

4 years ago

Read 2 more answers