What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

Answers

Answer 1
Answer:

Answer:   147

Step-by-step explanation:

The given arithmetic sequence : 3, 9, 15, 21, 27, ….....................

From the above sequence, it can be seen that the first term a= 3

The common difference = d=9-15=21-15=6

We know that in arithmetic sequence, the nth term is given by :-

a_n=a+d(n-1)

Then for, n=25, the 25th term will be :-

a_(25)=3+6(25-1)\n\n\Rightarrow\ a_(25)=147

Answer 2
Answer: 3, 9, 15, 21, 27,…
+6 +6  +6  +6

a(n) = a₁ + d(n - 1)
a(n) = 3 + 6(n - 1)
a(n) = 3 + 6(n) - 6(1)
a(n) = 3 + 6n - 6
a(n) = 6n + 3 - 6
a(n) = 6n - 3

  a(n) = 6n - 3
a(25) = 6(25) - 3
a(25) = 150 - 3
a(25) = 147

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Which of these numbers below are exactly divisible by nine 107, 513, 944, 126, 802

Answers

513 and 126. You have to divide 9 by all the numbers, if the number is even then it is divisible.

PLEASE HELP!!Solve this quadratic equation:

2x^2 + 8x = 0

This has TWO answers!

Thank you so much!!!

Answers

I hope this helps you

Y=8x+168
how do i get the x-intercept and
y-intercept to this equation?

Answers

The x intercept occurs when y=0, and the y intercept when x=0. Substitute these values into the equation to find the intercepts

The diagram below shows the construction of an equilateral triangle Which statement justifies this construction?

Answers

Answer:

3)

Step-by-step explanation:

AB = AC = BC

In equilateral triangle, all the sides and angles are equal. Here the diagram is constructed using the sides.

Answer:

#3

Step-by-step explanation:

I think number two because it is the direct line pattern of 3. If you look at the bend it would go AB,AC,BC.

Math help only 1 plz help

Answers

Answer:

b=24

Step-by-step explanation:

you use a^2+b^2=c^2

so 10^2+b^2=26^2

100+b^2=676

subtract 100 from both sides

b^2=576

then sq rt the 576 to get 24

Suppose you have 52 feet of fencing to enclose a rectangular dog pen. where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

Answers

Answer:

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Step-by-step explanation:

Given: 52 feet of fencing means Perimeter of rectangular dog pen.

If Total length of the boundary of rectangle (.i.e., Perimeter) is fixed then the rectangle with equal sides has the maximum area.

Width = x (given)

for maximum area let length = x

Perimeter of rectangle = 52 feet

2 × (Length + Width) = 52

2 × ( x + x ) = 52

2 × ( 2x ) = 52

4x = 52

x = (52)/(4)

x = 13 feet.

Maximum Area = Length × Width

                          = 13 × 13

                          = 169 feet^2

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Maximum Area = 169 feet^2