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2 years ago

Which one is the nth term if a1=15 and d= -3

Mathematics

1 answer:

levacccp [35]2 years ago

8 0

Answer:

nth term = 18 - 3n

Step-by-step explanation:

nth term = a + (n - 1)d

a1 = 15

d = -3

nth term = a + (n - 1)d

= 15 + (n - 1)-3

= 15 + (-3n + 3)

= 15 - 3n + 3

= 18 - 3n

nth term = 18 - 3n

For instance, if you want to find the 10th term

nth term = 18 - 3n

10th term = 18 - 3(10)

= 18 - 30

= -12

10th term = -12

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Given regular pentagon ABCDE, what are the coordinates of vertex C?

nata0808 [166]

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

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3 years ago

I am really confused about this question for math.. any help would be really appreciated:

Elina [12.6K]

$y= (\frac 1 4 )^x$

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

$y'= -y = - (\frac 1 4)^{x'}$

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

$x'=x''/2, y'=y''/2$

$y''/2= - (\frac 1 4)^{x''/2}$

$y'' = - 2((\frac 1 4)^{1/2})^{x''}$

$y''= - 2(\frac 1 2)^{x''}$

We can rewrite that without the primes and combine the powers of 2.

$y = - 2^{1-x}$

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

6 0

3 years ago

If the angle NME = x+97, the angle EML = x+66, and the angle NML = 141, find the angle EML

defon

Answer:

∠ EML = 94°

Step-by-step explanation:

See the attached diagram.

The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.

Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°

Hence, (x + 97) + ( x + 66) + 141 = 360

⇒ 2x + 304 = 360

⇒ 2x = 56

⇒ x = 28

So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)

6 0

3 years ago

The sum of three consecutive even numbers is 552. What is the 1st number?

wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0

2 years ago

Read 2 more answers

Drag the correct expressions to the table. Not all expressions will be used.

kondor19780726 [428]

what are the answer option??

3 0

3 years ago

Which one is the nth term if a1=15 and d= -3​

Which one is the nth term if a1=15 and d= -3