All categories

3 years ago

What is the summation notation for the series? 200+175+150+125+___+(-300)

Mathematics

2 answers:

ozzi3 years ago

5 0

21
E (225-25n)
n=1
So its D.

Katyanochek1 [597]3 years ago

3 0

Answer:

Sum notation will be $\sum_{n=1}^{21}(225-25n)$

Step-by-step explanation:

The given series is 200 + 175 + 150 + 125........+(-300)

Here $T_{n}=a+(n-1)d$

a = 200

d = -25

T(n) = -300

Therefore from the equation

-300 = 200 + (n-1)(-25)

200 -25n + 25 = -300

225 - 25n = -300

-25n = -300 - 225 = -525

n = (-525)/(-25) = 21

Now $T_{n}=200+(n-1)(-25)$

$T_{n}= 200+25-25n = (225-25n)$

Now the notation will be

$\sum_{n=1}^{21}(225-25n)$

You might be interested in

Consider the equation 1.5x + 4.5y = 18.

topjm [15]

Answer:

The slope is 0.3.

Step-by-step explanation:

1.5x + 4.5y = 18

4.5y = 18 - 1.5x

4.5 4.5

y = 4 - 0.3x

3 0

3 years ago

What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Step(i):-

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

step(ii):-

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

step(iii):-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

Conclusion:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

5 0

2 years ago

Help me please!!!!!! giving out brainliest

vazorg [7]

Answer:

1 = 175ft cubed

2 = 58m cubed

3 = 140m cubed

4 = 180in cubed

Step-by-step explanation:

You have to split these complex shapes into parts and find the volume of each part. Then, add the parts' volumes together, which will be the total volume of these. The equation is V=bhw. V means volume, b means base, h means height, and w means width. Hope this helps!

6 0

2 years ago

Alice bought a book for $12. This is 80% of the original price. What was the original

devlian [24]

Answer: $2.40 and he saved $9.60 follows: $12 x . 80 = $9.60 savings

3 0

3 years ago

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour. Who runs faster?

kenny6666 [7]

Answer:

║⊕║∵°·∵∴Hello :)∴∵·°∵∴║⊕║

Your answer should be:

Maura runs faster.

Step-by-step explanation:

I hope this helped!

Brainliest appreciated

8 0

3 years ago