All categories

4 years ago

If the sum of three consecutive terms of GP are k-4,k,k+5. Find k

Mathematics

1 answer:

labwork [276]4 years ago

7 0

Answer:

k = 20

Step-by-step explanation:

t1 = a = k-4

a = k - 4

t2 = ar = k

(k-4)r = k - 4

r = k/(k-4)

t3 = ar^2 = k + 5

(k - 4)(k/k - 4)^2 = k+5

k^2/k-4 = k+5

k^2 = (k+5)(k-4)

k^2 = k^2 -4k +5k -20

0 = k -20

k =20

You might be interested in

Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most li

sveta [45]

Answer:

The correct answer is 48, given by option c.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.

If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

24 - 10

x - 20

Applying cross multiplication:

$10x = 24*20$

Simplifying both sides by 10:

$x = 24*2 = 48$

The correct answer is 48, given by option c.

3 0

3 years ago

Find the error and correct it

jek_recluse [69]

4=-2(x-3)

divide both sides by 2

2=-(x-3)

remove parentheses

2=-x+3

move terms

2+x=3

subtract numbers

x=3-2

x=1

6 0

3 years ago

List the area of each shape on the lines below. Then list the shapes in order from greatest to least.

melisa1 [442]

Answer:4

Step-by-step explanation:

3 0

3 years ago

Please Help I dont Know what to do with this question!!!!

Anestetic [448]

Answer:

1. Certain

2. Impossible

3. Likely

4. Unlikely

Step-by-step explanation:

I believe this is correct. Hope this helps!

6 0

3 years ago

Read 2 more answers

Find the distance between the points (4,-2) and (0,10)

vagabundo [1.1K]

We can solve this problem by using the distance formula. The distance formula is: $\sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}}$ We can now put in values and solve.

$\sqrt{(4-0)^{2} + (-2-10)^{2}}$

$\sqrt{16 + 144}$

$\sqrt{160}$

3 0

3 years ago