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
anastassius [24]
3 years ago
9

Evaluate the summation of 3 n plus 2, from n equals 1 to 14..

Mathematics
2 answers:
kotykmax [81]3 years ago
8 0

Answer:

343

Step-by-step explanation:

WE are to evaluate the sum of

3n+2 from n=1 to 14

Symbolically this can be reprsented as

S=\Sigma _{n=1}  ^{14} (3n+2)

Splitting this into two separate terms we have

S=\Sigma _{n=1}  ^{14} 3n+\Sigma _{n=1}  ^{14} 2

Since in I term 3 is a constant 3 can be taken out and similarly for II term if 2 taken out it becomes sum of 1, 14 times

S=3\Sigma _{n=1}  ^{14} n+    28\\

The first term is sum of 14 natural numbers and we use the formula

Sum =3(\frac{14*15}{2} )+2(14)\\=343

bagirrra123 [75]3 years ago
5 0
We have to evaluate the summation of (3n+2), with n ranging from 1 to 14. Let's write all the terms of the sum for each value of n:
n=1: 3n+2 = 3\cdot 1+2=5
n=2: 3n+2 = 3\cdot 2+2=8
n=3: 3n+2 = 3\cdot 3+2=11
n=4: 3n+2 = 3\cdot 4+2=14
n=5: 3n+2 = 3\cdot 5+2=17
n=6: 3n+2 = 3\cdot 6+2=20
n=7: 3n+2 = 3\cdot 7+2=23
n=8: 3n+2 = 3\cdot 8+2=26
n=9: 3n+2 = 3\cdot 9+2=29
n=10: 3n+2 = 3\cdot 10+2=32
n=11: 3n+2 = 3\cdot 11+2=35
n=12: 3n+2 = 3\cdot 12+2=38
n=13: 3n+2 = 3\cdot 13+2=41
n=14: 3n+2 = 3\cdot 14+2=44
Now, let's sum all the terms together, and we get:
S=5+8+11+14+17+20+23+26+29+32+35+38+41+44=343
You might be interested in
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Elis [28]

Answer:

5

Step-by-step explanation:

<u>move constant</u>

x+7 ≥ 12

<u>subtract</u>

x≥ 12-7

<u>solution</u>

x ≥ 5

4 0
3 years ago
Find the 8th term of the geometric sequence 3, 12, 48,...
Sophie [7]
\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}

4 0
1 year ago
How many tenths are in 3ones
Vinil7 [7]

Answer:

30

Step-by-step explanation:

Each one has 10 tenths, so 3 ones have 30 tenths.

You can do this by dividing 3 by 1/10.

3/(1/10) = 3/1 * 10/1 = 30/1 = 30

7 0
3 years ago
paige spent $7.55 on some report covers and one lanyard at the spirit shop. Each report cover costs $0.35 and the layard cost $6
fomenos

Answer:

The answer is 3.

Step-by-step explanation:

7.55-6.50=1.05

1.05/.35=3

8 0
3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
olga_2 [115]

Answer:

7\pi cm^2

Step-by-step explanation:

The area of a circle is given by A=\pi r^2

For circle B, the radius is 3 cm, it has an area of \pi *3^2=9\pi cm^2

Circle D also has a radius of 1 cm. Its area is \pi *1^2=\pi cm^2

Circle P also has a radius of 1 cm and area \pi*1^2=\pi cm^2

The area of the shaded region is then 9\pi -\pi-\pi=7\pi cm^2

5 0
3 years ago
Other questions:
  • Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles ar
    11·1 answer
  • HELP TEST DUE 12/1 The function f(x) = x − 1 is changed to f(x) = 1 4 x − 1. Which describes the effect of the change on the gra
    10·2 answers
  • Describe the error in the work shown
    8·1 answer
  • Enter the sum of the numbers as the product of their GCF and another sum. 42 + 30
    10·2 answers
  • Snow is 0.02 m deep after 1 hour and 0.06 m deep after 3 hours. State the independent variable and the dependent variable. Then
    11·1 answer
  • Find the surface area of the prism. 5.7 4 3 4
    9·1 answer
  • WILL GIVE 100 POINTS
    5·2 answers
  • Can someone help me answer this
    9·1 answer
  • Which of the following values are in the range of the function graphed below?
    7·1 answer
  • Is y=10x^2 a linear equation
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!