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
bearhunter [10]
3 years ago
7

Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

a_n=a+(n-1)d

d is common difference, d = 6-3 = 3

Put all the values to find n.

735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245

So, there are 245 terms in the sequence.

You might be interested in
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0
3 years ago
Rational number between 3.623623 and 0.484848​
nataly862011 [7]

Answer:

1

Step-by-step explanation:

A rational number between 3.623623 and 0.484848 is 1.

4 0
3 years ago
Read 2 more answers
3. The three angles of a triangle measure x°, y° and 46°. Which of the following statements must be true?
Brrunno [24]

Answer:es ist die d

Step-by-step explanation:weil

3 0
3 years ago
Read 2 more answers
In 2017, you are starting to plan for retirement. You decide to deposit
ELEN [110]

Answer:

Step-by-step explanation:

It is a good idea to try to save up money to buy large items or find 0% interest deals so

you are not paying interest. However, this is not always possible, especially when buying

a house or car. That is when it is important to understand how much interest you will be

charged on your loan.

3 0
3 years ago
Read 2 more answers
The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the
iogann1982 [59]

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

  • It was shifted 3 units to the left, hence x -> x + 3.
  • It was shifted 2 units down, hence y -> y - 2.

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

More can be learned about translation concepts at brainly.com/question/4521517

6 0
2 years ago
Read 2 more answers
Other questions:
  • The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exch
    9·1 answer
  • SHOW UR WORK PLEASE IM LTERALLY CRYING
    9·1 answer
  • Express 3^2 = x as a logarithmic equation.
    6·1 answer
  • The dry cleaning fee for 3 pairs of pants is $18. What is the constant of proportionality
    10·1 answer
  • A holiday toy drive is putting together baskets for children they’re 84 toys and 56 books if each basket or see the same number
    5·1 answer
  • Solve for Xin the equation x^2-12+36=90
    6·2 answers
  • What is the pattern 4, 7, 12, 19, 21
    8·1 answer
  • (sin^4 theta - 1)/(cos^2 theta) = cos^2 theta - 2
    10·1 answer
  • A coffee seller makes a salary of $3,500 per month plus a $12 commission for every $100 of coffee he sells. A case of coffee cos
    6·1 answer
  • Can someone help me please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!