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2 years ago

Find the nth term of the following sequence: 7, 13, 19, 25,

Mathematics

2 answers:

Natalija [7]2 years ago

8 0

The answer of the next term is 31

katen-ka-za [31]2 years ago

5 0

Answer:

Tn = 7 + (n - 1)*(6)

Step-by-step explanation:

The explicit rule is in the form: Tn = a + (n - 1)*(d), where 'a' is the first term and d is the common difference.

The first term in the sequence is 7, so 'a' is 7. The common difference is 6

(13 - 7) = 6, hence 'd' is 6.

Therefore, Tn = 7 + (n - 1)*(6)

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Simplify the expression by arranging the steps in sequence, based on the order of operations.

lubasha [3.4K]

Answer:

$\displaystyle 6x - 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

Distribute: $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
Multiply: $\displaystyle 5x + 4 - 9 + x$
Rearrange: $\displaystyle 5x + x + 4 - 9$
Combine like terms: $\displaystyle 6x - 5$

8 0

2 years ago

If y varies inversely as x, find the constant of variation if y=36 when x=9

Jobisdone [24]

Answer:

k = 324

Step-by-step explanation:

Y varies inversely as x

Let k be the constant of variation

Y = k/ x

Y= 36 and x= 9

Substitute the value of Y and x

36 = k/9

Make k the subject of the formula

k= 36*9

k =324

5 0

2 years ago

A roll of paper towels contained 250 sheets. Each sheet was 8.75 inches long. How long was the roll?

aliya0001 [1]

250 × 8.75 = 2187.5 inches long

3 0

2 years ago

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Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of

Alekssandra [29.7K]

Answer:

Look below

Step-by-step explanation:

Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12

The shortest of B is 2

Find the scale factor of the A to B

6 -> 2

6/2 = 3

Scale factor is 3

Now divide all the sides by scale factor

6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4

Add them all together to get the perimeter

2+3+3+4 = 12

Perimeter of B is 12

5 0

3 years ago

HELP WITH DIS GEOMETRY QUESTION!!!!!!!

Rus_ich [418]

To find the volume, we use the formula V = (1/3)AH, where A = area of the pyramid's base and H = height of the pyramid.

Hope this helped

8 0

3 years ago

Read 2 more answers