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
Nostrana [21]
3 years ago
5

In a “Fibonacci” sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number

in such a sequence is 2 and the third is 9. What is the eighth term in the sequence?
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

<em><u>8</u></em><em><u>t</u></em><em><u>h</u></em><em><u> </u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>m</u></em><em><u>=</u></em><em><u>1</u></em><em><u>0</u></em><em><u>7</u></em>

Step-by-step explanation:

Here the sequence is following the 'fibonacci's sequence of numbers.....

i.e,Tn=T(n-1) +T(n-2), where n>2 but this sequence is not fibonnaci's number , it's not starting with 0, 1,1,2........

so you cannot apply formula to calculate,you have to find 8th term by simple calculation.....

Like here 3rd term is 9 and 1st term is 2

now 3rd term = 2nd term+1st term (sum of previous two terms)

i.e, 9= 2nd term +2

i.e, 2nd term =7

now, 4th term = 3rd +2nd

= 9+7=<u>1</u><u>6</u>

<u>again</u><u>,</u><u> </u> 5th term = 4th +3rd

=16+9=25

again,6th term =5th+4th

=25+16=41

again,7th term=6th+5th

=41+25=66

again,8th term=7th+6th

=66+41=107

You might be interested in
One positive number exceeds three times another positive number by 5. The product of the two numbers is 68. Find the number
kati45 [8]

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

6 0
3 years ago
The “new look” of the cereal boxes has a length that is three more than two times the width, x, and a height that is one more th
jok3333 [9.3K]

The first option is correct. For the following question, the simplified expression for the volume is 8x3 + 14x2 + 3x.

5 0
3 years ago
Read 2 more answers
Emily and Jasmine had the same number of stamps. After Emily gave 42 stamps to Jasmine, Jasmine had twice as many stamps as Emil
kirza4 [7]
There are 84 because if they have the same amount and when you add 42 it's doubled 42+42=84 84/2=42 so she will end up with 84
3 0
3 years ago
Read 2 more answers
Salvatore began finding the volume of the box. His work is shown below.
tensa zangetsu [6.8K]

Answer:

450 aka D

Step-by-step explanation:

Tbh its easy just multiply 9 time 5 and it will give you 45 then multiply that by 10 and it will give you 450. ez pickin

4 0
3 years ago
Read 2 more answers
What makes a trapezoid an isosceles trapezoid?
swat32
B. It’s bases are congruent

Explanation: A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write in mathematical symbols<br><br> 20 less than three times the width 3
    14·2 answers
  • You put $600 in an account. The account earns $31 simple interest in 10 months. What is the annual interest
    9·2 answers
  • While eating a big bowl of pho (Vietnamese soup), you discover that the diameter of the bowl is 9 inches. What is the circumfere
    11·1 answer
  • Some one plz help me find out what the answer is plz<br> 5y-8x-y plus 12x
    12·1 answer
  • Four more than one-third x
    6·2 answers
  • Tickets to a movie cost 7.50 for adults and 5.50 for students. A group of 8 friends
    6·1 answer
  • $12,000 at 2.2% for 5 years.<br> what’s the interest?
    15·1 answer
  • Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x<br><br> F(x) + G(x) =
    7·2 answers
  • Find the ratio of the volume of the triangular prism
    7·1 answer
  • help me pls pls pls
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!