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3 years ago

Find the sum of the first 30 terms in this geometric series -5 -4 -16/5

Mathematics

1 answer:

Maslowich3 years ago

6 0

Answer:

-24.97 to the nearest hundredth.

Step-by-step explanation:

First term a1 = -5.

Common ratio r = -4/-5 = 4/5.

Sum of n terms = a1 * [1 - (4/5)^n] / (1 - 4/5)

Sum of 30 terms = -5 * ( 1 - (4/5)^30) / 1/5

= -25 * ( 1 - (4/5)^30)

= -24.97

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3 years ago

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MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

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Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

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step 2

In the right triangle ACD

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step 3

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step 4

Find the value of x

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equate equation A and equation B

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solve for x

Multiply in cross

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step 5

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In the right triangle BCD

Applying the Pythagorean Theorem

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substitute the given values

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