All categories

3 years ago

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

You might be interested in

6th grade math! Help me please :))

vivado [14]

Answer:

Step-by-step explanation:

after 0, there are 3 lines on the graph, if you count by 1 to 3 on it, it is on 1/3 of it. Hope that this helps you and have a great day :)

5 0

3 years ago

Read 2 more answers

The product of two consecutive whole numbers is less than the sum of the square of the smaller number and 13

Norma-Jean [14]

Answer: a<13

Step-by-step explanation:

a*(a+1)<a^2+13

a^2+a<a^2+13

subtract a^2 from both sides:

a<13

8 0

3 years ago

Let f(x) = 6x^2 + 5 and g(x) = 3x - 5. Find f(g(7)).

Vedmedyk [2.9K]

Answer:

D) 1541

Step-by-step explanation:

I like to answer it w without deriving the formula of f(g(x)). So, we go this way, you firstly have to find g(7) which will be equal to 3 * 7 - 5 = 16.

And then you find f(16) = 6*16*16+5 = 1541. That's all.

8 0

2 years ago

Pls help pls help!!!!! ok ty

tekilochka [14]

Answer:

Step-by-step explanation:

Indepedent values basically means the x-values

Also sorry for last answer

7 0

3 years ago

Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to

EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

$\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}$

$=\ \dfrac{1}{2}$

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

$\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}$

$=>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}$

=> amount of water in mixture = 3 x 2

= 6 cups

(c) $\textrm{amount of rice in mixture}\ =\dfrac{1}{3}$

$\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}$

$=>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}$

$=>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}$

So, the amount of water in the mixture will be $\dfrac{2}{3}$ cup.

7 0

3 years ago