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
kobusy [5.1K]
3 years ago
11

Find the sum of the first 20 terms of the sequence -7, -3, 1,…

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

620

Step-by-step explanation:

The formula to find the sum of the first n terms of an arithmetic sequence is n(a1 + aN)/2, where n is the number of terms,  aN is the last term and a1 is the first term. We do not know the last term, though, so we must find it. The equation for this is an=a1+(n−1)d, where d is the common difference and a1 is the first term, and n is the number of terms. Therefore, the last term, an is, -7+(19)4 = 69.

Finally, we plug it into the first formula, the formula to find the sum, and we get 20*(-7+69)/2, which gives us 620 as our final answer.

You might be interested in
154= -4(8 + 6x) + 24x
icang [17]
154=-32-24x+24
154+32-24=-24x
162=-24x
162/-24=-24x/-24
X=-6.75
7 0
3 years ago
Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.
Liula [17]

Answer:

53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is  hours.

Use formula:

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

6 0
3 years ago
Read 2 more answers
Four trumpet players’ instruments are mixed up, and the trumpets are given to the players just before a concert. What is the pro
Katena32 [7]
This is what is known as a derangement - an arrangement in which none of the objects maintain their original position.
For example, with the numbers, 1234, in how many ways can they be arranged so that 1 is NOT in first position, 2 is NOT in second position, etc.
Of the 24 possible permutations of four numbers, there are nine possible derangements:
<span><span>2143   2341   2413
3142   3412   3421
4123   4312   4321</span>
So, the probability that no one gets their own trumpet is
9 out of 24 = 3/8  answer is A
Source:
http://www.1728.org/derange.htm

</span>
8 0
3 years ago
Write the quotient with the decimal point placed correctly 80 ÷ 50 = 16
Katyanochek1 [597]

Answer:

1.6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the ratio 55 over 132 written in lowest terms
Alborosie
The correct issuer is 5/12
6 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Find the area and perimeter of the triangle.<br> 16 cm<br> 20.9 am<br> 27 cm
    9·1 answer
  • If you flip a penny, nickel,​ dime, and quarter, how many ways can you get exactly 2 tails​?
    14·1 answer
  • P is inversely proportional to q^3, when p has the value 27, q has the value 3. i) find the formula which expresses p in terms o
    9·1 answer
  • M&lt;2+m&lt;6=180 true or false
    14·1 answer
  • HELP ASAP. a kite has diagonals of 18 inches and 21 inches as seen below. what is the perimeter of the kite
    11·1 answer
  • I NEED THIS ASAP PLS
    6·1 answer
  • I need helppppppppppppppppppppppppppppppppppppppp
    14·2 answers
  • PLEASE HELP I WILL GIVE BRAINLIEST AND THANKS IF CORRECT!!!!
    8·1 answer
  • Pls help asapppppp!!
    15·2 answers
  • A hippopotamus weighs 7000 pounds. The weight of a monkey is 1/1000 the weights of a hippopotamus. How many more pounds does the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!