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3 years ago

Write the rule of the nth term of each sequence 7,4,1,-2

Mathematics

1 answer:

Zarrin [17]3 years ago

8 0

Answer:

$a_{n}$ = 10 - 3n

Step-by-step explanation:

the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term

$a_{n}$ = $a_{1}$ + (n - 1)d

where d is the common difference and $a_{1}$ the first term

here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and $a_{1}$ = 7, hence

$a_{n}$ = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n

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A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir

Trava [24]

The ratio is 4/5 girls to boys. if there are 60 girls you would divide 60 by 4 and get 15. you would then multiply that 15 by 5 to get the number of boys in the choir. your answer would be 75 because 15x5=75. there are 75 boys in the choir

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2 years ago

Please help me........

scZoUnD [109]

Answer:

a)5.8meters

b)15feet

c)She is right as 16 feet is equivalent to 4.8768m which is less than 5m

d)3.6576m

Step-by-step explanation:

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2 years ago

If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

What is the square root off 60000000 These teachers trippin

garri49 [273]

7745.96669241 is the square root...hope it helps :)

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2 years ago

Read 2 more answers

PLEASE PLEASE PLEASE FIND THE UNKNOWNS WILL GIVE BRAIN TYSM!!

Wittaler [7]

Answer:

Sum of the opposite pair of a cyclic quadrilateral is 180°.

c= 180-102= 78°

c= 180-102= 78°d= 180-92= 88°

intercepted arc

=>2(102°)= 140+a°

a=64°

Simillarly

=> 2(d°)= a°+b°

b°= 112°

so ....

a=64°

a=64°b=112°

a=64°b=112°c=78°

a=64°b=112°c=78°d=88

hope it helps you ....

4 0

2 years ago