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garri49 [273]
3 years ago
5

The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.

Mathematics
1 answer:
NISA [10]3 years ago
4 0

Answer:

Step-by-step explanation:

t2 = a*r

t2 = 6

t5 = a*r^4

t5 = 162

162/6 = ar^4 / ar

r^3 = 27

r = 3

6 = a*3

2 = a

Sum = a(r^n - 1)

           =======

             r - 1

n = 5

a = 2

r = 3

Sum = 2(3^5 - 1)

           =======

               2

Sum = 242

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boyakko [2]

Answer:

Step-by-step explanation:

we can use reciprocals to solve this

(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025

rewrite

so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication

heres an example

x/2=0.5x

y/4=0.25y

so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y

same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)  

now we multiply numerator by numerator to get 20

and we multiply denominator by denominator to get 800

20/800 = 2/80 = 1/40

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3 years ago
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Gennadij [26K]

Answer:

f. is the answer

Step-by-step explanation:

4 0
3 years ago
Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.
Crank

Answer:

t = 10.2

Step-by-step explanation:

We have the following exponential equation.

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We divide both sides by 500.

(1.07)^{t} =2

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We use the logarithm power rule.

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6 0
4 years ago
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Answer:

D

Step-by-step explanation:

-1.25 is less than -1.02 and 1.4.

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1.4 is a greater amount because it is a positive number

So, if you put it this way, -1.25 is lesser, -1.02 is the 2nd least, & 1.4 is the greatest.

Which means your overall answer should be -1.25 < -1.02 < 1.4

5 0
3 years ago
A rectangular prism has a volume of 819 cubic meters. It has a length of 10 meters and a width of 9 meters. What is the height o
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Have a good day

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3 years ago
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