What is the value of the expression? 6/10 X 2/8

what is the explicit formula and recursive formula of the numbers 4,7,10,13,16...i don't even know how to start this problem. i

Lana71 [14]

An arithmetic sequence is a sequence with a constant

increase or decrease also known as the constant difference

In the sequence 10, 40, 70, 100, ….

The constant difference between the terms is 30

A recursive formula for a sequence would be:

a1= first term in the sequence

an = term you are trying to find

an-1 = previous term in the sequence

d = constant difference

Explicit Formulas:

A formula that allows you to find the nth term of the sequence by substituting known values in the expression.

Formula : an = a1 + d( n - 1)

a1= first term in the sequence

an = current term in the sequence

d = constant difference

n = term number

Solution:

Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….

Formula for explicit term:

an = ___ + ___( n - 1)

Simplify: an = ___ + ___n

In the sequence 4, 7, 10, 13, ….

To find the 11th term explicitly, I plug in the into the formula I just made:

an = 1 + 3n

a11 = 1 + 3(11)

a11 = 34

Find the 15th term of the sequence using the formula: an = 1 + 3n

Write the recursive formula of the sequence 4, 7, 10, 13, ….

Recursive formula:

a1 =

an = a n - 1

In the sequence 4, 7, 10, 13, 16 ….

To find the 5th term recursively, I plug it into the formula I just made:

an = an-1 + 3

a5 = a5-1 + 3 in words: 5th term equals the 4th term plus 3

a5 = 13 + 3

a5 = 16

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

8 0

3 years ago

A coin is flipped, and a standard number cube is rolled. Create a list to represent the sample space for the coin landing on tai

Natalka [10]

You have an 1/2 chance of getting tails and 3/6 chance getting odd

5 0

3 years ago

Read 2 more answers

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lidiya [134]

Answer:

$4\frac{3}{8}$ yards of wood

Step-by-step explanation:

The correct question is Hakim is making birdhouses. Each birdhouse uses 7 /8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses?

Answer: Given that the amount of wood need to produce one bird house is 7/8 yard, for 5 birdhouse, the amount of wood needed would be 5 times the number needed for one birdhouse. It is given by:

Amount of wood needed for 5 birdhouse = 5 × amount of wood for 1 birdhouse

Amount of wood needed for 5 birdhouse = 5 × 7/8 yards = 35/8 = $4\frac{3}{8}$ yards of wood

6 0

3 years ago

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres

nata0808 [166]

Answer:

3.6 meters are represented by 18 centimeters on the blueprint.

Step-by-step explanation:

Given:

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

Now, to find the actual meters represented by 18 centimeters.