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2 years ago

Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...

Mathematics

2 answers:

Kazeer [188]2 years ago

6 0

Answer:

250

Step-by-step explanation:

The sum of the terms of a geometric series is given by the formula ...

Sn = a1×(1 -r^n)/(1 -r)

sum of n terms for first term a1 and common ratio r.

<h3>series sum</h3>

The given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...

S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))

S7 = 150×(25999/15625) = 249.5904

Rounded to the nearest integer, the sum of the first 7 terms is 250.

Sonja [21]2 years ago

4 0

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.

<h3>What is geometrical series?</h3>

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is an geometric series, the details of the series are:

a₁ = 150

r = 60/150 = 0.4

n = 7

The sum of the geometric series is,

S = 150(1-0.4⁶)/(1-0.4)

S = 248.976 ≈ 249

Hence, the sum of the first seven terms of the series is 249.

Learn more about Geometrical Series:

brainly.com/question/4617980

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Step-by-step explanation:

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8 0

3 years ago

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Find the magnitude of wx for w(6 -3 6) and x(6 3 4)<br> A. 2sqrt10<br> B. 35<br> C. 4sqrt2<br> D. 32

gladu [14]

Answer:

$|WX|=2\sqrt{10}$

Step-by-step explanation:

To find the distance between two points in there dimensional coordinate system, we use the formula;

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The magnitude for w(6 ,-3 , 6) and x(6, 3, 4)

$|WX|=\sqrt{(6-6)^2+(3--3)^2+(4-6)^2}$

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The correct choice is A.

4 0

3 years ago

The vertices of pentagon PQRST are P(9, 7), Q(9, 3), R(3, 3), S(3, 7), and T(6, 9). Graph the pentagon and find the length of si

lianna [129]

Answer:

Step-by-step explanation:

6 0

3 years ago

ANSWER QUICK PLZ

musickatia [10]

A. 60(2/3) + 35(7/10) + 45(5/6) = $102.00

b. 60 + 35 + 45 = 140 = original price
140 - 102 = $30 saved

c. 102/140 = .7286 * 100 = 72.86 % (not sure how you need it rounded)

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3 years ago

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%5Ctimes%20%20%20%5Csqrt%5B3%5D%7B16%7D%20%20%3D%20%20%20%20" id="

gtnhenbr [62]

I hope it helps. ....................

7 0

3 years ago