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3 years ago

Ben says that 150 is a term in the sequence 3,9,15,21,27,... Ben right? Explain your answer

Mathematics

1 answer:

Temka [501]3 years ago

6 0

Answer:

No, Ben is not right.

Step-by-step explanation:

If we check the sequence of the numbers given, we can find that all of them is the odd multiple of the number three, i.e,

3,9,15,21,27.......

=> 3 (1,3,5,7,9......)

But 150 divided by 3 gives, 50, which is not an odd number, therefore, it will not come in this sequence.

Hope you understand.

Please mark it as the brainliest.

Thank You

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Suppose that P[infinity] n=0 cnx n converges when x = −5 and diverges when x = 7. What can be said about the convergence or dive

bezimeni [28]

What can be said about the convergence or divergence of the following series? summation n=0 to infinite (-1)^n Cn9^n

Answer:

The series diverges

Step-by-step explanation:

Given.

The center of convergence of the series, ΣCnx^n = 0 (for n = 0 to ∞)

The interval of the convergence is of the form (-k,k)

One or both the end points may be included in the intervals of convergence.

Also, given that the series diverges when x = 7; this implies that the interval of convergence is smaller than {-7,7}

The series

Σ(-1)^n Cn9^n (for n = 0 to ∞)

= Σ Cn(-9)^n (for n = 0 to ∞)

This is obtained after substituting -9 for x in ΣCnx^n = 0

So, x = -9

This is outside the boundary {-7,7}.

Hence, the given series diverges

7 0

4 years ago

Round each decimal to the nearest whole number 2.7 0.7 18.2 6.34 9.8 9.4

never [62]

1. 3.0
2. 1.0
3. 18.0
5. 6.0
6. 10.0
7. 9.0

3 0

3 years ago

Read 2 more answers

Don't spam!! complete answe= Brainliest answer

kobusy [5.1K]

Answer:

Step-by-step explanation:

1) $\sf v_{f} =v_{i} +gt$

= 50 + (-9*8) *1

= 50 - 9.8

= 40.2 m/s

2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²

3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.

6 0

3 years ago

In the figure at the right, what is the measure of angle c?<br> A.15<br> B.35<br> C.50<br> D.65

stealth61 [152]

I will think b but I could be wrong

7 0

3 years ago

Simplify 1/4-7i to get a complex number in standard a + bi form.

Romashka [77]

Answer:

$\frac{1}{4-7i}=\frac{4}{65}+\frac{7}{65}i$

Step-by-step explanation:

we are given

$\frac{1}{4-7i}$

Firstly, we will get rid of imaginary term from denominator

so, we will multiply conjugate to both top and bottom term

$\frac{1}{4-7i}=\frac{1\times (4+7i)}{(4-7i)\times (4+7i)}$

$\frac{1}{4-7i}=\frac{4+7i}{4^2-(7i)^2}$

$\frac{1}{4-7i}=\frac{4+7i}{16+49}$

$\frac{1}{4-7i}=\frac{4+7i}{65}$

we can also write as

so, we get

$\frac{1}{4-7i}=\frac{4}{65}+\frac{7}{65}i$

7 0

3 years ago