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Blizzard [7]
2 years ago
12

Does the following series converge or diverge?

Mathematics
1 answer:
Alex777 [14]2 years ago
7 0

Answer:

converge

Step-by-step explanation:

the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.

why do I know that the individual terms get smaller and smaller ?

because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)

n / (n^(3/2))

as sqrt(n³) = n^(3/2)

and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.

so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.

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Meredith bought 4 T-shirts and 2 pairs of pants. If x is the cost of one T-shirt and y is the cost of one pair of pants, she’ll
BartSMP [9]

Answer:

The total cost = 4x + 2y

The total cost = 2y + 4x

The total cost = 6x + 4y

The total cost = 4y + 6x

Step-by-step explanation:

* Lets explain how to solve the problem

- Meredith bought 4 T-shirts and 2 pairs of pants

∴ The number of T-shirts is 4

∴ The number of pairs of pants is 2

- x is the cost of one T-shirt and y is the cost of one pair of pants

∴ The cost of each T-shirt is x

∴ The cost of each pair pf pants is y

∵ The total cost is the sum of the products of the number of T-shirts

   and the cost of each one and the number of pair of pants and the

   cost of each one

∴ The total cost = (4 × x) + (2 × y)

∴ The total cost = 4x + 2y

- To find the equivalent expression switch the places of x and y

∴ The total cost = 2y + 4x

- Meredith bought 6 T-shirts and 4 pairs of pants

∴ The number of T-shirts is 6

∴ The number of pairs of pants is 4

∴ The total cost = (6 × x) + (4 × y)

∴ The total cost = 6x + 4y

- To find the equivalent expression switch the places of x and y

∴ The total cost = 4y + 6x

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%3D-2%5C%5Cx%2B3y%3D4" id="TexFormula1" title="x=-2\\x+3y=4" alt="x=-2\\x+3y=4" align="absmid
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X + 3y -4 =0 or x=4 I think that’s the answer
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Please help Right answers only!!!
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3 years ago
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Free_Kalibri [48]
Initial(1-markdown)
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