What is the nth term in the sequence:
4, 7, 12, 19, 28
Please show working out

Answers

Answer 1

Answer: 4, 7, 12, 19, 28
1st difference +3 +5 +7 +9
2nd difference +2 +2 +2

This is a geometric sequence

The form is:
an² + bn + c
2a is always = to the second difference
2a = 2
a = 1

3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0

a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3

nth term of sequence {substitute all we have found}
1n² + 0 + 3
n² + 3

Related Questions

What is a counter example for, when it rains, it pours?
What percent of 75.5 is 81.54
Solve for L: d=LM/R2+R1
Which rational expression would not have any undefined values
Which percent would represent an event that is very unlikely?

Solve the inequality.
x+9<15

5>2+y

z-2.3<4.7
6

Answers

Answer:

Step-by-step explanation:

x+9<15

x<6

5>2+y

y<3

z-2.3<4.7

z<7

Write 5 3/10 as a improper fraction

Answers

5 3/10
5(10) = 50 + 3 = 53 - numerator, denominator stays the same
53/10 - answer

Final answer:

To write 5 3/10 as an improper fraction, convert the whole number to a fraction and add the fractional part. Therefore, 5 3/10 as an improper fraction is 53/10.

Explanation:

To write 5 3/10 as an improper fraction, we first convert the whole number to a fraction by multiplying it by the denominator of the fractional part. In this case, 5 * 10 = 50. So, the whole number 5 can be written as the fraction 50/10. Then, we add the fractional part, which gives us 53/10. Therefore, 5 3/10 as an improper fraction is 53/10.

Learn more about converting mixed numbers to improper fractions here:

brainly.com/question/15145842

#SPJ2

Please help me with both questions!!!!

Answers

Answer:

16. y < 1 - 2|x -2|

17. y ≥ 3 + (1/2)|x -2|

Step-by-step explanation:

16. Shading is below the dashed line, so the inequality is ...

y < (something)

The function is an inverted absolute value function with slopes ±2, so -2 is the multiplier. Its vertex is translated to (2, 1), so the parent function is modified to be ...

f(x -2) +1

With the multiplier and the comparison added, the whole inequality is ...

y < -2|x -2| +1

17. Shading is above the solid line, so the inequality is ...

y ≥ (something)

The function is an absolute value function translated to (2, 3) and given a vertical scaling of 1/2. So, your inequality is ...

y ≥ (1/2)|x -2| +3

Answer:

16. y < 1 - 2|x -2|

17. y ≥ 3 + (1/2)|x -2

Step-by-step explanation:

Instructions: Find the measurement of the angle indicated in the following parallelogram.

Answers

It’s the measurement.it’s true because u can tell it is

One-fifth of a swarm of bees is resting on a kadaba bush and a third on a silindha bush; three timesthe difference between these two numbers is on a kutaja, and a single bee has flown off in the breeze drawn by the odor of a jasmine and a pandam. Tell me, beautiful maiden, how many bees are there?

Answers

Answer:

There are 15 bees.

Step-by-step explanation:

Let's call x the total number of bees. There is one fifth of that in one bush, which can be written as:

$(1)/(5)x$

there is one third on another, which is:

$(1)/(3) x$

the other one has three times the difference between the previous two:

$3((1)/(3)x-(1)/(5)x)$

So, if we add those three quantities plus one single bee that flew away, it all should add up to the total number of bees, which is x. So:

$3((1)/(3)x-(1)/(5)x)+(1)/(3)x+(1)/(5)x+1=x$

We will solve for x:

$(3)/(3)x-(3)/(5)x+(1)/(3)x+(1)/(5)x+1=x$

$(15)/(15)x-(9)/(15)x+(5)/(15)x+(3)/(15)x+1=x$

$(14)/(15)x+1=x$

We will move the positive x on the right of the equal as a negative one to the left:

$(14)/(15)x-x+1=0$

$(14)/(15)x-(15)/(15)x+1=0$

$-(1)/(15)x+1=0$

$1=(1)/(15)x$

$15=x$

We can prove this answer by replacing in the original equation:

$3((1)/(3)15-(1)/(5)15)+(1)/(3)15+(1)/(5)15+1$

$3(5-3)+5+3+1$

$3(2)+9$

$6+9=15$

Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees? A) 3 B) 5 C) 6 D) 9