MATHEMATICS HIGH SCHOOL

Please help me with this ​
please help me with this ​ - 1

Answers

Answer 1
Answer:

Seems like I've done a few of these already today.

1.

a[1] = 4, d=6

Formula: a[n] = 4 + 6(n-1)

a[40]=4 + 6(39) = 238

Table: 4 10 16 22 28 34   ...   a[40]=238

--------

2.

a[23]=25, d=3

a[n] = a[1] + d(n-1)

25=a[23]=a[1] + 3(22)

a[1] = 25 - 66 = -41

Table: -41 -38 -35 -32 -29 -26

Let's check a[23]= -41 + 3(22)= 25, good

Formula: a[n] = -41 + 3(n-1)

Related Questions

Alison is selling and buying baseball cards online. She sells each card for $3.25 and buys each card for $5.50. If she sold 4 cards and bought 7 cards, did she end up making money or spending money and how much money did she spend or make? A) she made $0.75 B) she made $51.50 C) she made $25.50 D) she spent $25.50 E) she spent $51.50
I have a math worksheet and it asks "what is wrong with camping on the Sahara desert
Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.
Find the speed in degrees per minute of the minute hand of an accurate a clock.
Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

What is the sum of the infinite geometric series?.

1/2+1/4+1/8+1/16+...

Answers

Answer:

The sum of the given geometric series is, 1

Step-by-step explanation:

Geometric sequence states that a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio (r).

The sum of the infinite terms of a geometric series is given by:

S_\infty = (a)/(1-r) ......[1] ;where 0<r<1

Given the series: (1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+.....

Since, this series is geometric series with constant term(r) = (1)/(2)

Since,

((1)/(4))/((1)/(2) ) =(2)/(4) = (1)/(2),

((1)/(8))/((1)/(4)) =(4)/(8) = (1)/(2) and so on....

Here, first term(a) = (1)/(2)

Substitute the values of a and r in [1] we get;

S_\infty = ((1)/(2))/(1-(1)/(2))   where r =  (1)/(2)< 1

S_\infty = ((1)/(2))/((2-1)/(2))  

or

S_\infty = ((1)/(2))/((1)/(2))

Simplify:

 S_\infty = 1  

Therefore, the sum of the infinite geometric series is, 1
1/2+1/4+1/8+1/16+...=\sum\limits_(n=1)^\infty ((1)/(2))^n = ((1)/(2))/(1-(1)/(2))=1

We can see that consecutive fractions are made from 1/2 to consecutive powers. Because we begin with 1/2, n=1
We will infinitely add fractions , hence Lemniscate sign.

In other words you cannot find a number which needs to be added to the geometric series to get "1", therefore the answer is 1. I remember the teacher explaining it this way :)

What is the slope of the line that passes through 2,-1 and 2,-5

Answers

Answer:

Undefined.

Step-by-step explanation:

When using the formula y2-y1/x2-x1, the result comes out as -4/0. Any number over a 0 is undefined.

What is the midpoint of OA ?A: (2m, n)


B: (m, n)


C: (m – n, 0)


D: (m, 2n)

Answers

Answer:

(m,n)

Step-by-step explanation:

Since O is at the origin, we can take the coordinates of point A and divide them by 2 to find the midpoint

( 2m/2,2n/2)

The midpoint is at (m,n)

Let v = 25.What is the value of v – 5?

A.
5

B.
20

C.
25

D.
30

Answers

the answer is B because 25-5=20

How many times does 6 go into 312

Answers

It can go in 52 times. Just divide 312 from 6.

Hope - this -helped :)
52 times is the answer : )

a cylindrical tank has a radius of 15 ft. and a height of 45ft. how many cubic feet of water can the tank hold?

Answers

Try pi times 30 times 45, si. nce diameter is radius x2. 3.14 x 30 x 45 = answer.
Other Questions
What is S7 for 6 – 24 + 96 – 384 + ... ?
can some one please help my with 1 &2? there’s supposed to be only 1 false but i can’t figure it out
Question: Find the x-intercepts for the parabola defined by this equation:y = 2x² - 8x + 10 Write your answer as two ordered pairs: (x1, y1), (×2, y2) Separate the values with a comma. Round, if necessary, to the nearest hundredth.
(-7x²-7x-7)-[(7x³-9x²-20)+(4x-11)]]=?(5x⁴+8x²+2)+7(5x⁴-3x²)=? Please explain the work behind the solution