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
Tom [10]
3 years ago
15

A sequence of 7 numbers starts with 8. The second number in the sequence is unknown and may be positive or negative. The third t

hrough seventh numbers are the sum of the previous two numbers in the sequence, and the seventh number is 0. What is the sum of the 7 numbers?
Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

4

Explanation:

a_1=8,a_7=0

Since the third term is the sum of the two previous terms

a_3=a_2+a_1

a_7=a_6+a_5

a_7=a_5+a_4+a_4+a_3

Continuing in like manner

a_7=5a_3+3a_2

Since a_3=a_2+a_1

a_7=5(a_2+a_1+3a_2

a_7=5a_2+5a_1+3a_2

a_7=8a_2+5a_1

Recall: a_1=8,a_7=0

0=8a_2+5*8

8a_2=-40

a_2=-5

The sequence is therefore:

8,-5,3,-2,1,-1,0

The sum of the seven numbers is 4.

You might be interested in
Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.
forsale [732]
X - 3 < 9    or    x + 5 ≥ 10
  + 3 + 3               - 5   - 5
     x < 12      or      x ≥ 5

Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)
8 0
3 years ago
Read 2 more answers
Please please help me!!!
shutvik [7]

Answer:

D

Step-by-step explanation:

Suppose she only fills her big pots. The number of big pots filled is 120÷12=10. So the y-intercept is (0,10).

Now suppose she only fills her small pots. The number of small pots filled is 120÷5=24. So the x-intercept is (24,0)

6 0
3 years ago
Estimate the area of the irregular shape. Explain your method and show your work! (3 Points)
Fynjy0 [20]
31 units
the outer part,try to combines pieces that would make one unit and count
8 0
3 years ago
Read 2 more answers
723 divided bye 34 in partial
damaskus [11]
The answer is 0.04702628
5 0
3 years ago
Во една продавница има повеќе видови на сокови. 16 л пепси, 18 л фанта, 26 л кока кола и 10 л џус од портокал. Колкав дел од сок
ozzi

Answer:

Step-by-step explanation:

тоа е

4 0
3 years ago
Other questions:
  • Jumps has $55 in her savings account. This is $21 more than David. Write and solve an equation to find the amount David has in h
    11·1 answer
  • PLZZZ HELP!!<br><br> Will give brainliest.
    5·1 answer
  • gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple ch
    12·2 answers
  • The owner of a store sells coats. She buys them for $50 each. sells the coats for ​$70.00 each. What percent of the purchase pri
    8·1 answer
  • 6 4/5 as a fraction greater than 1
    9·1 answer
  • Lilly babysits for $10 per hour. She works for 5 hours. She uses her money to buy a new sweater that cost $20.
    15·2 answers
  • The number of deer in Georgia increased by 2,300 last year. Which of the situations below, when combined with that increase, wil
    13·1 answer
  • Help??<br> anyone?<br> 7th grade math <br> tysm
    14·1 answer
  • Which is the slope for the equation that is perpendicular to y=-4x+3
    8·1 answer
  • Simple Geometry Question 100 Points<br> How do you use coordinates to find the area of polygons?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!