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
Deffense [45]
3 years ago
11

Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
 S<span>ummation notation to write the series 49 + 54 + 59 +... for 14 terms is attached .
I hope that will help.

</span>

My name is Ann [436]3 years ago
5 0

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


You might be interested in
GR5_Math_U7_FS
Nutka1998 [239]

Answer:

4/6 of a pizza.

Step-by-step explanation:

We know that:

Both pizzas are of the same size.

Jasmine cut her's into 12 slices.

Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.

Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.

This means that:

X of a pizza + 2/6 of a pizza = 1 pizza

X + 2/6 = 1

X = 1 - 2/6

X = 6/6 - 2/6 = 4/6

Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.

5 0
3 years ago
Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
trapecia [35]

Answer:

The probability that Alice wins the game=\frac{1}{2}

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

P(E)=\frac{Number\;of\;favourable\;cases}{total\;of\;cases}

The probability that Alice wins the game=\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}

The probability that Alice wins the game=\frac{number \;of \;heads}{Total\; results}

The probability that Alice wins the game=\frac{1}{2}

8 0
3 years ago
Simplify. Express the quotient as a radical expression.
frez [133]
The correct answer is the first option - ninth root of x squared.
To see how I got that answer, take a look at the attachment below. 

3 0
3 years ago
Ravi and his wife are each starting a saving plan. Ravi will initially set aside $125 and then add $40.75 every week to the savi
katen-ka-za [31]

Answer:

  T = 125 +116.40N

Step-by-step explanation:

The total savings is the sum of the two plan values:

  T = A + B

  T = (125 +40.75N) +(75.65N) . . . . substitute the given formulas

  T = 125 + (40.75+75.65)N . . . . . . .combine like terms

  T = 125 +116.40N

7 0
3 years ago
Read 2 more answers
Look below :)<br> Everything is underneath, ty. Just need an answer by Wednesday
mamaluj [8]

Answer:

Step-by-step explanation:

\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}

\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}

6 0
3 years ago
Other questions:
  • In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi
    10·2 answers
  • If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =
    10·2 answers
  • Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:
    8·1 answer
  • What is the equation of the graphed line written in
    7·2 answers
  • Anyone know how to help?
    12·1 answer
  • Sonia works at a bakery. The function
    13·1 answer
  • the graph shows the location of a bank in a library each Square on the graph represents one block which path can be taken to go
    5·1 answer
  • This is a problem I need help with​
    10·2 answers
  • At a farmers’ market, Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items,
    10·1 answer
  • Jia is skipping a rock across a pond. The sequence {4.2, 3.57, 3.0345, 2.5793, …} describes the height of the rock on each succe
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!