All categories

3 years ago

What is the common difference in the following arithmetic sequence ?

Mathematics

1 answer:

Andrej [43]3 years ago

8 0

Answer:

Step-by-step explanation:

The common difference of an arith. seq. is the distance between any two adjacent members of the sequence.

The difference (increase) between -1 and 10 is +11.

as a check, determine whether adding 11 to y = 10 results in 21. Yes, it does.

The common difference here is 11.

You might be interested in

Please help as soon as possible

Mice21 [21]

1 kilometer = 1000 meters so 12 kilometers = 12000 meters

10 laps (400 meters/lap) = 4000 meters

12000/4000 = 3

Answer: 3 days

4 0

3 years ago

I need help with this 2 please

xeze [42]

Answer:

Step-by-step explanation:

The formula for C is

C=2πr (using 3.14 as pi)

so C=2(3.14)(45)

so C=90(3.14)

so C≈282.6 or D

7 0

3 years ago

Could someone give me an answer and explain how you got it ?

tankabanditka [31]

Answer:

A (9, 3)

Step-by-step explanation:

First the point is rotated 90° counterclockwise about the origin. To do that transformation: (x, y) → (-y, x).

So S(-3, -5) becomes S'(5, -3).

Next, the point is translated +4 units in the x direction and +6 units in the y direction.

So S'(5, -3) becomes S"(9, 3).

3 0

3 years ago

PLEASE I NEED TO TURN THIS IN TOMORROW I NEED HELP PLEASE HELP ME

mart [117]

Answer: $\sum_{n=1}^{5}4^n=1364$

Step-by-step explanation:

Since we have given that

$\sum_{n=1}^{5}4^n$

Now, we know the rule for summation , we'll apply this ,

$\sum_{n=1}^{5}4^n\\=4^1+4^2+4^3+4^4+4^5\\$

Now, it becomes geometric progression, so we us the formula for sum of terms in g.p. which is given by

$S_n=\frac{a(r^n-1)}{r-1}\\\\\text{where 'a' is the first term and 'r' is the common ratio}$

So, our equation becomes ,

$a=4 \\\\r=\frac{a_2}{a_1}=\frac{4^2}{4}=4\\\\S_5=\frac{4(4^5-1)}{4-1}\\\\S_5=1364$

Hence ,

$\sum_{n=1}^{5}4^n=1364$

7 0

3 years ago

Read 2 more answers

TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these

Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

first we get here total no of probability that is

n(s) = 15 C 9

n(s) = $\frac{15!}{9!(15-9)!}$

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = $\frac{9!}{3!(9-3)!}$

n(3) = 84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = $\frac{6!}{4!(6-4)!}$

n(4) = 15

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15 = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = $\frac{1260}{5005}$

probability = 0.2517

6 0

4 years ago