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Tema [17]
3 years ago
15

If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!

Mathematics
2 answers:
podryga [215]3 years ago
7 0


108
Explanation:
In any geometric series, we need two pieces of information to find its sum to the
n
-th term, and thus the sum to infinity.
Firstly, we need the first term,
a
. This is obviously
36
in this expression.
Secondly, we need the common ratio,
r
,. We find this by taking 24/36 =2/3
Thus a =36 and r =2/3 . also note that
(R) =2/3 <1

We then apply the formula for sum of geometric series to the
n -th term when (r) <1 : Sn =a(1 -rn ) / 1-r = 36 ( 1 - (2/3 ) n) / 1 -(2/3)
=108 (1 -(2/3) n)
The sum to infinity s ♾ is defined to be the limit of sn as n - ♾
N- ♾,(2/3) n -0.sn -108 -0 =108
S ♾ =108

Sloan [31]3 years ago
3 0

Answer:

This is a sequence of geometric and for 5 it will be 4.74

Step-by-step explanation:

36,24,16,7.11, and 4.74

Just divided by 1.5 and you will see

Hope this Helped

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if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?
kramer

Answer:

<h2>11.25min</h2>

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

5 0
3 years ago
Find the y-intercept of the parabola y = x2 + 1.
Andrew [12]

Answer:

1

Step-by-step explanation:

The y intercept is 1.

Have a great day!

Please mark brainliest!

4 0
3 years ago
What two positive real numbers whose product is 50 have the smallest possible sum?
Llana [10]
X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.
7 0
3 years ago
4. You are reading a book that is 268 pages. You have already read 112 pages. You read 39
Andre45 [30]

Answer:

4 days

Step-by-step explanation:

268-112= 156    

156 divided by 39 = 4

4 0
3 years ago
Read 2 more answers
Please help if you can!
Sloan [31]
2340 is a rational number because you can divide by it. 
<span>3π  is an irrational number because you cannot divide by it. </span>
8 0
4 years ago
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