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Bond [772]
3 years ago
7

give an example of a convergent infinite series whose sum equal 3/5. explain how you know your series converges and write out wo

rk to show that its sum is in fact 3/5
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5

Step-by-step explanation:

Consider the infinite geometric series

1/5, 2/15, 4/45, 8/135...

With first term, a=1/5

common ratio, r = ⅔

The series converge because the common ratio, |r|<1.

The sum to infinity of a geometric series, S= a/(1-r)

S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5

Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.

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On a piece of paper, graph f(x) = 4 x (0.5)^x
tangare [24]

The complete question is

"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."

The given function is an exponential function. The graph of option C is the correct answer.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

For example, y^x

, where a is a constant is an exponential function.

The function is given as

f(x) = 4. (0.5)^x

AS we can see that the given function is an exponential function.

Thus, the graph of option C is the correct answer.

Learn more about exponential here:

brainly.com/question/2193820

#SPJ1

6 0
2 years ago
On a map, 2 inches represents 50 miles. How many miles are represented by 3 inches?
ivolga24 [154]
So if two is fifty, divide it by two to get twenty five, multiply that by three to get seventy five. 3x=75
4 0
3 years ago
True or false 16.-84.-184-284 is an arithmetic sequence?<br> O True<br> O False
Liono4ka [1.6K]

Answer:

false

plz tell me if im wrong i hope i helped

6 0
3 years ago
X + 35/17 = 4 The answer is 33/17 but I got it wrong because I multiplied 4 by 17. Why do I minus 35/17 from 4 instead of multip
Tema [17]

X=33/17

Here is how it works

By the way what you are working with is called improper factions, which is when the big number is placed over the smaller number.

Now 33/17 is also 1 16/17

35/17 is also 2 1/17

Now we can the proper fractions which are 1 16/17 and 2 1/17

1+2=3 and 16/17 + 1/17 equals 1

3+1=4

I enjoyed solving your problem. please vote my answer brainliest..thanks

7 0
3 years ago
Guys I need help, this question is soo hard for me, I can't figure out what's 1+1 I LIKE HAVE NO IDEA
Sati [7]

Answer:

i think its 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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