MATHEMATICS HIGH SCHOOL

An arithmetic sequence is shown below. −7,−3,1,5,9,... Which represents an explicit formula for this sequence. A f(n) = -7 +4 (n-1) B f(n) = -4 +7 (n-1) C f(n) = -4 +7 (n-1) D f(n) = -11 (n-1)

Answers

Answer 1

Answer: The answer of this question would be A:)

Answer 2

Answer:

Answer:

A. f(n) = -7 +4 (n-1)

Step-by-step explanation:

$a_1=-7\,,\ a_2=-3\,,\ a_3=1\,,\ a_4=5\,,\ a_5=9...\implies d=4$

{-3-(-7)=4 and 1-(-3)=4 and 5-1=4 and 9-5=4}

An arithmetic sequence is: $a_n=a_1+(n-1)d$

$a_1=-7\quad and\quad d=4$

$a_n=-7+(n-1)\cdot4$

So:

$f(n)=-7+4(n-1)$

Related Questions

Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?
Lana and Ron each opened a separate bank account with $1000. They were both offered a 4.5% interest rate for 2 years. After 2 years, Lana’s account had more money than Ron’s. What could explain the difference?A.Lana’s account earned simple interest; Ron’s account earned compound interest. B.Lana invested funds for a longer time period. C.Lana’s account had a higher interest rate. D.Lana’s account earned compound interest; Ron’s account earned simple interest.
Mikes cookie recipe needs 3/4 cup of sugar. Jans recipe needs 1/2 cup of sugar. How much more sugar does mike need than Jan?
The set of integers is closed under subtraction. True False
Point P has coordinates (2,3). Point Q is symmetric to point P with respect to the line x = 4. What are the coordinates of point Q. Im wondering how you solve this. I think it's (3,6) A. (2,5) B. ( 5,3) C. (3,6) D. (6,3

4x - 7 < 5 which is not a solution to the inequality

Answers

First, you want to subtract 7 from both sides. On the left, it cancels out, so you're just left with 4x. On the right, your left with -2. Then, you divide 4 on both sides. On the left, it cancels out, and on the right it leaves you with 0.5. Anything below 0.5 (for ex 0, 0.25) would be correct. Anything above will be incorrect. Hope this helped!

First you want to subtract 7 from both sides. On the left, it cancels out, so you're just left with 4x. On the right, your left with -2. Then, you divide 4 on both sides. On the left, it cancels out, and on the right it leaves you with 0.5. Anything below 0.5 (for ex 0, 0.25) would be correct. Anything above will be incorrect. Hope this helped!!

The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180. Answer the questions below and show all work.

Answers

Answer:

d=$15,

Explicit formula: $a_n=120+(n-1)15$

$a_(12)=285$

At 27 month Ginni make a deposit at least $500.

Step-by-step explanation:

Given that the deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180.

we have to find the common difference i.e d

-- , -- , $150, x, $180 , -------

Let $x be the 4th deposit.

∴ x-150=180-x ⇒ 2x=330 ⇒ x=165

Common difference,d=165-150=$15

Let us find the first tem i.e the value of a

$a_3=a+(3-1)15$

⇒ $150=a+30\thinspace gives\thinspace a=120$

Explicit formula for arithmetic sequence is

$a_n=a+(n-1)d$

⇒ $a_n=120+(n-1)15$

Now, we have to find the amount of Ginni in 12th deposit i.e n=12

$a_(12)=120+(12-1)15$

⇒ $a_(12)=120+165=285$

Now, we have to find at what month Ginni make a deposit at least $500.

$a_n=120+(n-1)15$

⇒ $500=120+(n-1)15$

⇒ $n-1=(380)/(15)$

⇒ $n=26.33\sim27$

hence, at 27 month Ginni make a deposit at least $500.

1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.

Hope this helps!

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

Simplify the expression.1. (-7w)³

Simplify the expression.
2. (3t²) (-5+6)

Simplify the expression.
3. (6y²)³

Answers

(-7w)^3 = -7w * -7w * -7w = -343w^3
(3t^2)(-5 + 6) = (3t^2)(1) = 3t^2
(6y^2)^3 = 6^3 y^(2 * 3) = 216y^6

$1. (-7w)^3=-343 w^(3) \n 2. (3 t^(2) ) (-5 t^(6) )=-15 t^(8) \n 3. (6y^2)^3=216 y^(6)$

A set of car tires cost $600 if there is a 15% off tire sale in an 8% sales tax is added what will the total cost be

Answers

Answer: $550.8

Step-by-step explanation:

(03.06)A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.

f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80

Answers

Given:
Week 5 = 60 dumpster load
Week 10 = 40 dumpster load

60 - 40 = 20
5 - 10 = 5

20/5 = 4 dumpster load per week.

Week 0 to Week 5 = 20 ⇒ 20+60 = 80

f(x) = -4(x) + 80
f(5) = -4(5) + 80
f(5) = -20 + 80
f(5) = 60

f(10) = -4(10) + 80
f(10) = -40 + 80
f(10) = 40

Answer:

Step-by-step explanation:

I dont have proof but I promise you its right. :)

Other Questions

How many different ways can 12 people line up to go to the same bathroom

Increased competition for power among European states and led to imperialism.EthnocentrismCommunismIndustrializationSocial Darwinism

The blank is the greatest of the common factors of two or more numbers

0.16 to the nearest whole number