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Harlamova29_29 [7]
3 years ago
14

What is an equivalent expression for 3 x 9

Mathematics
1 answer:
Lorico [155]3 years ago
5 0
9x3 is equivalent to 27
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Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
What is the ratio 15 :24 written in the lowest terms
Charra [1.4K]
15:24 to the lowest term is 5:8. This is because you divide each number by the same number. You will divided 15 and 24 by 3 to get 5:8.
5 0
3 years ago
Read 2 more answers
Find the value of x so that the shaded region is a gnomon to the white rectangle.
RUDIKE [14]

Based on the shaded region, the value of x which makes this region a gnomon is x = 1.

<h3>What is value of x?</h3>

Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:

3/ 6 = (1 + 3) / (x + 6 + x)

1/2 =  4 / (6 + 2x)

6 + 2x = 4 / (1/2)

2x = 8 - 6

x = 2/2

x = 1

Find out more on shaded regions at brainly.com/question/9767762.

#SPJ4

4 0
1 year ago
The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.​
melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

  • The common ratio is: \mathbf{r = \frac{a + 5d}{a + d}}
  • The general term of the GP is: \mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

The nth term of an AP is:

\mathbf{T_n = a + (n - 1)d}

So, the <em>2nd, 6th and 8th terms </em>of the AP are:

\mathbf{T_2 = a + d}

\mathbf{T_6 = a + 5d}

\mathbf{T_8 = a + 7d}

The <em>first, second and third terms </em>of the GP would be:

\mathbf{a_1 = a + d}

\mathbf{a_2 = a + 5d}

\mathbf{a_3 = a + 7d}

The common ratio (r) is calculated as:

\mathbf{r = \frac{a_2}{a_1}}

This gives

\mathbf{r = \frac{a + 5d}{a + d}}

The nth term of a GP is calculated using:

\mathbf{a_n = a_1r^{n-1}}

So, we have:

\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

6 0
3 years ago
Which expression best represents the phrase, the product of
erastova [34]
Do 14 times n which give you 14n. and divide by 3.
Answer: (14n)/3
6 0
2 years ago
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