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2 years ago

State why the series is convergent or divergent, and if it is convergent, find the sum.

Mathematics

1 answer:

MatroZZZ [7]2 years ago

8 0

Answer:

Converges, 10

Step-by-step explanation:

∑ 5 / 2ⁿ⁻¹

= ∑ 5 (½)ⁿ⁻¹

This is a geometric series with a₁ = 5 and r = ½. Since |r| < 1, the series converges to:

S = a₁ / (1 − r)

S = 5 / (1 − ½)

S = 10

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3 years ago

I have 3/5 of work and i complete 1/5 how much is left

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I hope this helps you

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3 years ago

Three consecutive integers have a sum of 56. what are the three integers

denis23 [38]

Answer:

impossible

Step-by-step explanation:

X + X + 1 + X + 2 = 56. To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. ...

3X + 3 = 56. 3X + 3 - 3 = 56 - 3.

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3 years ago

Expressions and Equations

Anna71 [15]

Answer:

A) 4x+8

B) 8x-16

C) 8x+12

D) 6x+6y+6z

Step-by-step explanation:

multiple the number outside of the parentheses by each number or letter inside the parentheses

8 0

3 years ago

Which algebraic expression is a polynomial? 3m2n-2m/n+1/n

Lesechka [4]

Answer:

d) $7mn+\frac{3m}{2}+\frac{5n}{4}$

Step-by-step explanation:

Which algebraic expression is a polynomial?

$a)3m^2n-\frac{2m}{n}+\frac{1}{n} \\b)\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5\\c)\frac{4m^3}{n^2}-3mn^5+\sqrt{8}\\d)7mn+\frac{3m}{2}+\frac{5n}{4}$

Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:

i) Variables of a polynomial must not have negative exponent.

ii) Variables of a polynomial must not have fractional exponent.

iii) Dividing by an exponent is not allowed

iv) Exponent radicals are not allowed.

a) $3m^2n-\frac{2m}{n}+\frac{1}{n}$ is not a polynomial because dividing by an exponent is not allowed.

b) $\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5$ , is not a polynomial because exponent radicals are not allowed (√m)

c) $\frac{4m^3}{n^2}-3mn^5+\sqrt{8}$ is not a polynomial because dividing by an exponent is not allowed.

d) $7mn+\frac{3m}{2}+\frac{5n}{4}$ is a polynomial

4 0

2 years ago