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
Kisachek [45]
3 years ago
13

What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

You might be interested in
Joe asked the children in his class which flavours of ice-cream they like.
Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0
3 years ago
Please write a 5 sentence summary of fidel castro's life
adell [148]

Answer:

Fidel Castro, in full Fidel Alejandro Castro Ruz, (born August 13, 1926, near Birán, Cuba—died November 25, 2016, Cuba), political leader of Cuba (1959–2008) who transformed his country into the first communist state in the Western Hemisphere. Castro became a symbol of communist revolution in Latin America. He held the title of premier until 1976 and then began a long tenure as president of the Council of State and the Council of Ministers. He handed over provisional power in July 2006 because of health problems and formally relinquished the presidency in February 2008.

Step-by-step explanation: Hope it helps! Please rate brainliest

4 0
3 years ago
Read 2 more answers
F(x)=x^2-2.g(x)=4x-2
Alex777 [14]

Answer:

Step-by-step explanation:

f(x) = x²-2

g(x) = 4x-2

f.g(x)= x²-2(4x-2) = x²(4x-2)-2(4x-2) = 4x³-2x²-8x+4

f.g(x) =  4x³-2x²-8x+4

7 0
3 years ago
Due soon! Answer this geometry question. Thanks.
jarptica [38.1K]

Answer:

i think  A if  not  sorry

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ME WITH THIS !
vodomira [7]

Answer:

uh idek

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer this question I need a answer tonight
    13·2 answers
  • 4h+8=20 what is h?..........
    12·2 answers
  • A ________ prism has two congruent, parallel bases and three lateral sides.
    8·2 answers
  • Does the sum of the exterior angles of a pentagon equals 300 degrees
    14·1 answer
  • What is the quotient and remainder of 26 divided by4
    11·2 answers
  • What percent of 48 is 54
    9·1 answer
  • There are 58 students in an art class. The day before class begins, 10.3 percent of the students cancel
    8·1 answer
  • Sabeena’s pen measures 144 millimeters long. Her pencil measures 18 centimeters long. How many centimeters longer is Sabeena’s p
    14·2 answers
  • Put these decimals in order from least to greatest.<br> 8.009<br> 8.90<br> 8.09<br> 8.913
    15·1 answer
  • 21. Amanda invests $5,000 in a CD at an annual interest rate of 2%. What will her investment be worth at the end of three years?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!