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aleksklad [387]
3 years ago
5

Choose the correct explicit formula for the sequence below.

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

an = 3+3(n-1)

Step-by-step explanation:

We are adding 3 each time

6-3 = 3  9-6 = 3

The common difference is 3

The explicit formula for an arithmetic sequence is

an = a1+d(n-1)

The first term is a1 = 3

d =3

an = 3+3(n-1)

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PLEASE HELP WILL MARK BRAINLIEST!
Kruka [31]

Answer:

Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:

BC = 1/2(XY)

BC = 1/2(12)

BC = 6

Step-by-step explanation:

Please support my answer.

6 0
2 years ago
I will give brainliest but you need to explain how you received the answer so i can learn how to do it on my own/// thanks!
Readme [11.4K]
To solve this problem we must know that when any two lines intersect , a pair of opposite angles from the figure Will be equal
so that means that
4x + 20 = 3x + 55
we can subtract twenty from each side
4x + (20 - 20) = 3x + (55 - 20)
4x = 3x + 35
now we can subtract like terms
4x - 3x = (3x - 3x) + 35
so we can get the final answer as
1x = 35
6 0
3 years ago
josh , James and John share sweets in ratio 1:2:4 . Josh has 9 sweets less than John . how many sweets does John have ?​
disa [49]

Answer:

12

Step-by-step explanation:

1:2:4

let josh=1x

james=2x

john=4x

josh has nine sweets less than john

4x-1x=9

3x=9

x=3

john's sweet=4x

4(3)=12

3 0
2 years ago
I would greatly appreciate if anyone could show me how to complete this problem.
Naya [18.7K]

Answer:

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4 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 56<br> +<br> 32<br> =
valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

88

4 0
3 years ago
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