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
The length of the radius of a circle with an area of 100 yards is yards.
love history [14]

Answer:

r≈5.64

Step-by-step explanation:

5 0
3 years ago
Square ABCD and square EFGH share a common center on a coordinate plane. is parallel to diagonal . Across how many lines of refl
Oduvanchick [21]
Square ABCD and square EFGH will reflect onto themselves across 8 lines of reflection
7 0
3 years ago
Read 2 more answers
HELP! please choose the correct answer from the photo
Rina8888 [55]

Answer:

10x+6

Step-by-step explanation:

the area of a rectangle is (length+height)*2

so you have to add two representations of the length and height and then multiply it by 2

7 0
2 years ago
Read 2 more answers
I will give u brianliest!
aleksley [76]

Answer:

a) 5.956x10^-24

b)8x10^29

8 0
3 years ago
Read 2 more answers
Lexie began making posters for the school awards banquet. She can make 6 posters per minute. Zach joined her 10 minutes after sh
Snowcat [4.5K]
10 * 6 = 60 by the time Zach joins so 125-60 = 65
Now 6 (lexie) +7 (zach)  = 13 (together) and 65/13 = 5. 
6*5 = 30 and 7*5 = 35. 35+30 = 65
Your answer is 5. 
7 0
3 years ago
Other questions:
  • What is the standard form?
    12·1 answer
  • A:104<br> B:24<br> C:240<br> D:26 <br> Help me
    14·2 answers
  • The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100,
    12·1 answer
  • 14.
    12·1 answer
  • a bus is leaving the bus station at 5:45 p.m. and it takes 2 days 6 hours 30 minutes to reach a destination if the bus leaves on
    7·1 answer
  • Determine the prime number between 150 and 200​
    11·1 answer
  • Which fraction is equivalent to StartFraction 2 Over 6 EndFraction?
    9·1 answer
  • 8.16, 0.96, 8.24, 8.123 in order
    12·1 answer
  • Please help with this question
    10·1 answer
  • If (-1,0) belong to the function f where f(x) =M X +2, then M= <br><br>Pls answer ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!