1/4+3/8+1/2 I don’t know how to do it

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking

valina [46]

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

8 0

3 years ago

I need help I can't find which one it is

lawyer [7]

The real number has to be 0

8 0

3 years ago

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What is the diameter of the cylinder

vfiekz [6]

Diameter of cylinder is 14 units.

<h3>Explamation :</h3>

Given :-

Volume of cylinder = 245π cubic units
Height of cylinder = 5 units

To Find :-

Diameter of cylinder?

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

➸ r = 7 units

Hence, radius of cylinder is 7 units.

Now lets calculate its diameter, as we know that;

Diameter = Radius × 2

Putting all values we get;

➸ Diameter = 7 × 2

➸ Diameter = 14 units

Hence, diameter of cylinder is 14 units.

5 0

2 years ago

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raghu bought 80 oranges at 3Rs per orange. he sold 30% oranges at 5Rs each and remaining oranges at the rate of 3Rs each. find h

Veronika [31]

Answer:

20% Profit percentage

Step-by-step explanation:

Since Raghu bought 80 oranges at 3Rs each, his total expense (E) is:

$E= 80*3 = 240$

Now for his earnings, he sold 30% of the oranges for 5Rs each and 70% for 3Rs each. Therefore, his earnings are represented by the following expression:

$P = 80*0.3*5 + 80*0.7*3\\P=288$

His profit percentage (%) can be found as follows:

$\%= \frac{P - E}{E}*100\\\\\%= \frac{288 - 240}{240}*100\\\%= 20\%$

5 0

3 years ago

What is the distance between the points (-7,1) and (-7,-5) on the coordinate plane?

Cloud [144]

The distance between the two points would be 6.

7 0

3 years ago

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