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Anika [276]
3 years ago
11

How many terms of the arithmetic sequence {-4,-2, 0, ....} will give a sum of 500?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

a. 25

Step-by-step explanation:

Sₙ = n/2 * (2 * a₁ + (n-1) * d)

Sₙ = 500     a₁ = -4    d = 2

500 = n/2 * (-8 + (n-1) * 2) = n/2 * (-8 + 2n - 2) = n/2 * (2n - 10) = n² -5n

n² - 5n -500 = 0

(n - 25) (n + 20) = 0

n > 0

n = 25

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Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)
Triss [41]

Answer:

tan(-1) \approx -0.02

Step-by-step explanation:

The given expression is

tan(-1)

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of \pi, where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at x=-1, the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

tan(-1) \approx -0.02

6 0
3 years ago
Help please asap PLEASE TELL ME THE WORKING AS WELL.​
DanielleElmas [232]

Answer:

a = 9 / 7

step by step explanation:

9 / - a + 15 = 8

Determined the defined range

9 / ( - a ) + 15 = 8 , a ≠ 0

subtract 15 from each side

9 / - a + 15 - 15 = 8 - 15

calculate the difference

9 / - a = - 7

multiply both side of equation by - a

9 / - a × - a = - 7 × - a

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divide each side by of equation by -7

9 / 7 = 7 a / 7

9 / 7 = a

swap the side of equation . ( optional )

a = 9 / 7

6 0
2 years ago
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If |a| = |b| then does a = b?
kondor19780726 [428]

Answer:

yes, if |a|=|b| then a = b......

3 0
3 years ago
Tell whether the sequence is arithmetic. If it is, what is the common difference?
denis23 [38]
Idek sorry have a nice day
6 0
2 years ago
Please answer this correctly
Serggg [28]

Answer:

502 m²

Step-by-step explanation:

We require to find b before calculating the surface area.

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height )

Here V = 510, l = b, b = 10 and h = 3, thus

b × 10 × 3 = 510

30b = 510 ( divide both sides by 30 )

b = 17

--------------------------

The opposite faces of a cuboid are congruent, thus

top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²

front/back area = 2(17 × 3) = 2 × 51 = 102 m²

sides area = 2(10 × 3) = 2 × 30 = 60 m²

Surface area = 340 + 102 + 60 = 502 m²

3 0
3 years ago
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