All categories

3 years ago

Give a recursive formula for this sequence: 1,4,7,10,13,16.... PLEASE HELP ME! Tysm! (:

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

$a_{n+1}$ = $a_{n}$ + 3 ; a₁ = 1

Step-by-step explanation:

Given

1, 4, 7, 10, 13, 16, ......

Note the difference in consecutive terms is constant, that is

4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

Thus to obtain the next term in the sequence ( recursive formula )

Add 3 to the previous term

$a_{n+1}$ = $a_{n}$ + 3 ( with a₁ = 1 )

You might be interested in

A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $

Lerok [7]

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

<u>To calculate the sale price of the sweater, we need to use the following formula:</u>

<u></u>

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

8 0

3 years ago

Expand the given power by using Pascal’s triangle. (9a - 10b)^6

xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

1 6 15 20 15 6 1 n=6

This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

8 0

3 years ago

Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?

kozerog [31]

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

4 0

3 years ago

Read 2 more answers

12.09 to the nearest tenth

Gwar [14]

12.1 because 9 is greater than 5.

6 0

3 years ago

Read 2 more answers

Please help i don’t understand

choli [55]