1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
2 years ago
7

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

Mathematics
1 answer:
liubo4ka [24]2 years ago
4 0

Answer:

68

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
Which of the following words correctly describe a triangle with two 45 angles?
Tom [10]
Well, first let's identify which answers are incorrect, then it will be easier to figure out which are correct.

A. Equilateral: An equilateral triangle is a triangle with 3 equal sides. Since there are 180 degrees in a triangle, an equilateral triangle would have three sides of 60 degrees, and none of 45 degrees. Answer? Incorrect.

B. Isosceles: An isosceles triangle has two sides that are equal. 45 and 45 are equal, therefore, this answer is: Correct!

C. Scalene: A scalene triangle has three unequal sides, therefore, this answer is incorrect.

D. Obtuse: An obtuse triangle has one angle that is more than 90 degrees, therefore, since 45 and 45 equal 90 already, this answer is: incorrect.

E. Right: A right triangle has one right angle (angle that equals 90 degrees) since 45 + 45 = 90, and 90 + 90 = 180, this answer is: Correct!

F. Equiangular: This last choice is practically the same as the first, therefore the answer is: incorrect.

The two correct answers are: B Isosceles, and E Right!
4 0
3 years ago
Read 2 more answers
In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?
Mariulka [41]
B is the answer to this question...
6 0
3 years ago
Read 2 more answers
Which situation would be best represented by a linear function? The temperature of a glass of ice water increases by a factor of
Ahat [919]
The third option is the correct.

7 0
3 years ago
Read 2 more answers
You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i
Ganezh [65]

Answer:

  Step 4, because there is only 1 conversion needed.

Step-by-step explanation:

To convert pounds to kilograms, one only needs to divide by (2.2 pounds/kg). That was done in Step 3, so no further steps are needed.

7 0
3 years ago
Luke is building a storage building and needs to have a slab of concrete poured. He knows the contractor charges an initial cost
nikitadnepr [17]

Answer:

95+3.50x=total price to pour the concrete.

Step-by-step explanation:

95 represents the initial amount the contractor charges. 3.50x represents $3.50 times the amount of square feet bieng poured. You add these two terms together to get your total amount owed to the contractor.

7 0
3 years ago
Other questions:
  • In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x wil
    8·1 answer
  • Need help with this algebra question
    6·1 answer
  • What is the measure of Z if W equals to 116*
    13·1 answer
  • Leann made a fruit salad made of apples, bananas, and cantaloupes. How many equations are needed to determine the number of appl
    15·2 answers
  • Which statement is true about this argument?
    7·2 answers
  • 4+(−1 2/3) i don't get how to this cuz there aren't two fractions, just one.
    11·1 answer
  • Pls help I’ll brainlest ASAP
    5·1 answer
  • A number less 5 is at least 23
    10·1 answer
  • The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s
    10·2 answers
  • 8. The high school graduating class of 2000 was 260 students. Five years later, the graduating class was 320 students. By 2010,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!