1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
3 years ago
15

Find S11 for 1 + 2 + 4 + 8 +

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
 
                                            Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11. 
Substituting the known values, 
 
<span>                                      Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047. 
You might be interested in
A survey finds customers are charged incorrectly for 44 out of every 10 items. Suppose a customer purchases 1414 items. Find the
seropon [69]

Answer:

The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².

Step-by-step explanation:

To solve the question, we note that we proceed with the binomial distribution formula as follows

Number of times the customer is incorrectly charged out of ever 10 items = 4

Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4

That is p(incorrect) = 0.4

Then the probability that the customer is charged incorrectly on at most 2 items is

P(x≤2) = P(x=0) + P(x=1) + P(x=2)

          = ₙC_r × p^r×q^{(n-r)} =

        P(x=0)   = ₁₄C₀ ×0.4⁰× 0.6¹⁴ =  7.836 × 10⁻⁴

        P(x=1)   =  ₁₄C₁ ×0.4¹× 0.6¹³ =  7.314 × 10⁻³

       P(x=2)  =   ₁₄C₂ ×0.4²× 0.6¹² =  3.169 × 10⁻²

∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²

       P(x≤2) = 3.979 × 10⁻².

5 0
3 years ago
Evaluate the expression 5c-2 for c=5
Setler [38]
<h3>Answer:  23</h3>

Explanation:

Replace c with 5. Use PEMDAS to simplify

5c - 2 = 5*5 - 2 = 25 - 2 = 23

6 0
3 years ago
Niko works at a fast-food restaurant.
Doss [256]

Answer:

Step-by-step explanation:

so he worked 132 hrs in 4 weeks..he worked 6 days per week....

6 * 4 = 24 days...so he worked 132 hrs in 24 days

132 / 24 = 5.5 (or 5 1/2) hrs per day <===

3 0
3 years ago
Peter started to deposit 5000 monthly in a fund that pays 1%compounded monthly .how much will be in the fund after 8 months?
Keith_Richards [23]

Answer:

43200 assuming he put 5000 in the fund every month not just the first one.

Step-by-step explanation:

I hope this helps.

4 0
3 years ago
On a map, two cities are 6 1/2 inches apart. The actual distance between the cities is 104 miles. What is the scale of the map?
zloy xaker [14]
1 1/4in per 20mi I think is your answer

6 0
3 years ago
Other questions:
  • Find the solution set for the equation, given the replacement set.
    10·1 answer
  • Which is the graph of f(x)=sqrt x?
    12·1 answer
  • There were 300 more cards sold during June than in July and 400 less cards were sold during April compared to July.
    15·1 answer
  • Which expression is equivalent to (1-sin^2x)(sec x)
    6·1 answer
  • Help me please thank you
    12·1 answer
  • From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In
    12·1 answer
  • 13.) Dakota is saving to buy an iPad that costs $345. He has already saved $37. What is the least amount of money Dakota must sa
    14·2 answers
  • I need help l don’t know what to do
    11·1 answer
  • Find the area of a rectangle with a length of (5x+2) and width of (2x-1)
    14·1 answer
  • PLEASE HALP ME! timothy had 18 liters of pineapple juice, he shared 4 liters with his sister, 2 with his brother. then got anoth
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!