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

A side of a led lighting cube is 5 cm long. What is the area of its 6 faces?

ratelena [41]

Answer:

Of all 6 faces it would be 150

Step-by-step explanation:

If one side of the cube is 5cm long, then l × w = area of a face, so if it is a cube then all 4 sides are the same on a face so 5 × 5 = 25, so 25 × 6 faces = 150

8 0

3 years ago

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Solve using elimination 6x + 2y = -8 3x - 2y = -19

Jobisdone [24]

Answer:

x=-3, y=5

Step-by-step explanation:

6x + 2y = -8 3x - 2y = -19

Add the two equations together to eliminate y

6x + 2y = -8

3x - 2y = -19

------------------------

9x = -27

Divide each side by 9

9x/9 = -27/9

x = -3

Now we find y

6x + 2y = -8

6(-3) +2y = -8

-18+2y = -8

Add 18 to each side

-18+18 +2y = -8+18

2y = 10

Divide by 2

2y/2 = 10/2

y =5

3 0

3 years ago

The collection of all the days in a week beginning with the letter ‘t’

aksik [14]

Answer:

the days of the week beginning with 't' are tuesday and thursday

7 0

3 years ago

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