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
ozzi
3 years ago
11

What is the 22nd term of the arithmetic sequence 12, 17, 22, 27, …?

Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:the 22nd term is 117

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference between successive terms.

n represents the number of terms in the sequence.

From the information given,

a = 12

d = 17 - 12 = 22 - 17 = 27 - 22 = 5

n = 22

We want to determine the value of the 22nd, T22. Therefore,

T22 = 12 + (22 - 1)5

T22 = 12 + 105 = 117

melomori [17]3 years ago
4 0
In simple words you just find what is being added to each term in order to get the next term. Subtracting 17 by 12 you get 5, 22 minus 17 is 5 as well. Now that what is being added is found, you go by the last term given which is 27. You keep adding 5 to the number until you get to the 22nd term which would result in 117. If you would want to know the equation in order for it to be plugged in then you would use f(x)= 7+5x . You would want to use this equation instead of f(x)= 12+5x because putting 1 as x would make it equal to 17 which is NOT the first term but the second.
You might be interested in
Nadine can send or receive a text message for $0.15 or get an unlimited number for $5.00. Write and solve an inequality to deter
34kurt

Answer:

0.15*t < 5.00

33 texts

Step-by-step explanation:

given : $0.15 per text; unlimited cost is $5.00

# of texts = t

0.15*t < 5.00

t < 33.33; since you cannot make 33.33 texts i will round down to 33 texts.

Basically you can send or receive up to 33 texts and it will be cheaper than $5.00

0.15(33) = $4.95

at 34 texts, 0.15(34) = $5.10

8 0
3 years ago
Which one of the following proportions is true for the segments shown in the figure if lines a, b, and c are parallel to each ot
Sever21 [200]
<span>choice B 
B. CE/CA = BD/DC </span>
8 0
3 years ago
a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. how tall is the building?
cluponka [151]
Initial velocity = 0 m/s
Acceleration = 9.8 m/s²
Time = 3.1 s

s = ut + 1/2 at²
s = 1/2 x 9.8 x 3.1²
s = 47.1 m

The building is 47.1 meters tall
4 0
3 years ago
Read 2 more answers
Evaluate 5r-8.35s when r=12 and s=4
balu736 [363]

Answer: 26.6

Step-by-step explanation:

r = 12 5(12) = 60 | s = 4 8.35(4) = 33.4 | Now subtract both total number = 33.4 - 60 = 26.6

7 0
3 years ago
-1/4b + 1/2 = 5/6<br>Find b​
QveST [7]

Answer:

b = -4/3

Step-by-step explanation:

First, subtract the 1/2 over

-1/4b+1/2=5/6

5/6-1/2

To get a common denominator of 6, multipy 1/2 by 3

5/6-1/2(3)

5/6-3/6=2/6

-1/4b=2/6

Next, multiply by the reciprocal of -1/4, or -4

(-4)-1/4b=2/6(-4)

b=-4/3

7 0
3 years ago
Other questions:
  • What is this question 4/9(1/5x+5/6)=
    14·1 answer
  • You want to know how many calories you burn when you exercise. Look at the calories / exercise table below.
    11·1 answer
  • Simplify each mathematical expression 2(7y − 3) + (5y + 2) − (9y − 4)
    10·1 answer
  • In a class 0f 25, 10boys play cricket, 5 boys play football, 4boys play hockey. 3boys play both football and cricket and 2 boys
    6·1 answer
  • You are given data set= .99,1.92,1.23,.85,.65,.53,1.41,1.12,.63,.67,.69,.60,.60,.66
    13·1 answer
  • s<img src="https://tex.z-dn.net/?f=elect%20all%20of%20the%20following%20expressions%20that%20are%20equivalent%20to%204%E2%88%9A5
    6·1 answer
  • Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
    11·1 answer
  • Hi my friend plays this game called Animal jam classic, all she's wanted was a membership, but her fam can't afford it, both of
    10·2 answers
  • Any one know what to do
    11·1 answer
  • HELP ASAP!! AND PLEASE EXPLAIN! The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the vo
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!