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
soldier1979 [14.2K]
2 years ago
5

Find the 97th term of the arithmetic sequence

Mathematics
1 answer:
kozerog [31]2 years ago
3 0
<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, a_{n}  = a_{1} + (n - 1) d

Substituting the values in the above equation, we get

a_{97}  = 25 + (97 - 1) 4

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

You might be interested in
Describe a real world problem you could solve with the help of a yardstick and a calculator.
jekas [21]
There are many options, let me tell you three
- how many square feet is your house
- <span>how tall you are in centimeters. use the yardstick to measure yourself then calculate it into centimeters
- </span>needing to find the area of a space in order to purchase a couch you need the yardstick
I hope these options are useful
4 0
3 years ago
Test test 123 123 12345678
ExtremeBDS [4]

Answer:

test test 9101112131415

6 0
2 years ago
Read 2 more answers
What is the domain of y=3^x-2 +1
mel-nik [20]

Answer:

x∈R

Step-by-step explanation:

4 0
3 years ago
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
pashok25 [27]
<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

<u>Substitute the coordinates of the given points:</u>

\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10  }

<u>Simplify the equation to determine the slope:</u>

\implies \text{Slope} = \dfrac{0}{-3 - 10  }

∴ 0 divided by ANY number is ALWAYS 0.

\implies \text{Slope} =0

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

  • x₁ and y₁ are the coordinates of any given point.
  • m is the slope

<u>Substitute the values in the point slope form:</u>

\implies \text{Equation of line:} \ y - y_{1}  = m(x - x_{1} )

\implies \text{Equation of line:} \ y - 2  = 0(x - 10)

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

\implies \text{Equation of line:} \ y - 2  = 0

\implies \text{Equation of line:} \ y   = 0 + 2

\implies \text{Equation of line:} \ y   = 2

Thus, the equation of the line is y = 2.

5 0
2 years ago
The speed of light is about 3x10 to the 8th power meters per second. About how far can light travel in 30 minutes?
ella [17]
5.4x10^11 metres per second or 540,000,000,000 metres per second
7 0
3 years ago
Other questions:
  • A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?
    7·1 answer
  • Draw an angle measuring 700 degrees in standard position.
    7·1 answer
  • in the diagram below ,R is located at (24,0) , N is located at (12,18) , T is located at (12,6) , and E is located at (18,15) .
    14·1 answer
  • On a map the scale is 1.5 inches to 5 miles. If the distance measured on the map from one town to another is 10.5 inches, then h
    7·1 answer
  • Which situation would be BEST represent by the graph?
    5·1 answer
  • What is (x+5)(x-1) ? ( expanding brackets )
    10·1 answer
  • Translate the expression in to a sentence and simply<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B49%7D%20" id="TexFormula1
    6·1 answer
  • Someone please help (urgent)
    5·2 answers
  • PLEASE HELP ASAP !!!
    5·1 answer
  • Kal is decorating the outside edge of a square bulletin board. He needs to know the side length of the bulletin board. The area
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!