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3 years ago

A certain arithmetic sequence has this explicit formula for the nth term:

Mathematics

2 answers:

Margaret [11]3 years ago

6 0

The number 6 could replace the gap :)

Alex787 [66]3 years ago

5 0

Answer:

Answer is 6

Step-by-step explanation:

Given that there is an arithmetic sequence and has an explicit formula for the nth term as

$a_n =13+(n-1)6\\$

Since n can be any natural number, let us substitute n =1 to find the I term

$a_1 = 13+(1-1)6=13$

Let us find the 2nd term by substituting n=2

$a_2 =13+(2-1)6=19$

Common difference = d= $a_2-a_1=19-13=6$

Hence from I term a and common difference d, we find the any term can be obtained by adding 6 to the previous term

i.e. $a_n=a_{(n-1) +6}$

6 is the answer

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kifflom [539]

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

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6 0

3 years ago

Each side of a checkerboard measures<br> 40 cm. What is the length of its<br> diagonal?

Novay_Z [31]

Answer:

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Step-by-step explanation:

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3 years ago

The temperature in degrees Celsius can be determined using the expression 5 9 (F – 32) where F is the temperature in degrees Fah

Norma-Jean [14]

Answer:

The temperature on Celsius scale for 86 ºF is 30 ºC.

Step-by-step explanation:

Both degrees Celsius and Fahrenheit are relative scales of temperature. The relationship between degrees Fahrenheit and degrees Celsius is summarized by the equation below:

$T_{C} = \frac{5}{9}\cdot (T_{F}-32)$ (1)

Where:

$T_{F}$ - Temperature, measured in degrees Fahrenheit.

$T_{C}$ - Temperature, measured in degrees Celsius.

If we know that $T_{F} = 86\,^{\circ}F$ , then its equivalent temperature on Celsius scale is:

$T_{C} = \frac{5}{9}\cdot (86-32)$

$T_{C} = 30\,^{\circ}C$

The temperature on Celsius scale for 86 ºF is 30 ºC.

3 0

3 years ago

Solve for a: 5(a+5)-3=3(2-a)

ivann1987 [24]

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

8 0

3 years ago

Read 2 more answers

I turn 40 degrees clockwise, 70 degrees anticlockwise and

rosijanka [135]

Answer:

Anticlockwise 60°

Step-by-step explanation:

Let my starting point be 0°

Turning to the right(clockwise)40° = 0° + 40° = 40°

I am now at 40° to the right of my starting point.

Turning to the left(anticlockwise) 70° = 40° - 70° = -30°

I am now 30° to the left of my starting point.

Turning to the right 90° = -30° + 90° = 60°

I am 60° to the right of my starting point.

To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°

This is a change of -60°

-Chetan K

7 0

2 years ago