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cricket20 [7]
3 years ago
6

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti

on in lowest terms without using spaces.
Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

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Answer:

18+3b-2b-1

b+17

Step-by-step explanation:

\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b

-\left(2b+1\right)=-2b-1

=3\left(6+b\right)-2b-1

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\mathrm{Group\:like\:terms}

=3b-2b+18-1

\mathrm{Subtract\:the\:numbers:}\:18-1=17

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\mathrm{Add\:similar\:terms:}\:3b-2b=b

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[RevyBreeze]

7 0
2 years ago
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1
Juli2301 [7.4K]

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

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7 = 1.5x - 1

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x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: brainly.com/question/13911928

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Answer:

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Step-by-step explanation:

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2 years ago
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