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
diamong [38]
2 years ago
14

Consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
3 0

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

You might be interested in
Please Help!
Murljashka [212]
(82,82,) (x+y) answer short
8 0
3 years ago
Use the substitution method to solve the system of equations
PilotLPTM [1.2K]

You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).

In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.

The result is

14m+2n=-8 \iff 14m+2(-7m-4)=-8 \iff 14m-14m-8=-8 \iff -8=-8

So, the second equation turned to be an equality, i.e. an equation where both sides are the same.

This implies that the system has infinitely many solutions, because every couple (n,m) such that n=-7m-4 is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.

3 0
3 years ago
25% of 614 is what number. Round your answer to the nearest tenth
mihalych1998 [28]

Answer:

153.5

Step-by-step explanation:

Given 25% of 614

That’s 25% /100% x 614

0.25 x 614

153.5

3 0
3 years ago
If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
Oliga [24]
The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
5 0
3 years ago
PLS HURRY I WILL GIVE BRAINLIEST Which statement describes the locations of the two numbers in the inequality fraction negative
mariarad [96]

Answer:

fraction negative 4 over 5 is to the left of −0.4 and to the left of 0

Step-by-step explanation:

-4/5

-0.4 = -4/10 = -2/5

4 0
2 years ago
Other questions:
  • Need help! Nd please write down steps. Thank u
    12·2 answers
  • If x = 1 and y = 2 and z = 3 what is <br> 10x³z²- 5x²y³/xyz²
    5·2 answers
  • HELP ME PLEASE!!! A Kite flying in the air has a 12 feet line attached to it. It's line is pulled and cast an 11 feet shadow. Fi
    8·1 answer
  • What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? E
    15·1 answer
  • Definitions for Math Easy
    8·2 answers
  • PLZ HELP (if you don't know how to do it then don't even bother) FRIENDS!!!
    12·1 answer
  • What segment is congruent to PR? <br> A. BC <br> B. AC <br> C. AB <br> D. QR
    15·1 answer
  • 9 1/2 divided by 3 7/10
    8·2 answers
  • The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's
    6·1 answer
  • HELP PLEASE PLEASE HELP URGENT PLEASE HELP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!