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3 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Mathematics

1 answer:

Alex3 years ago

3 0

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of n terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

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Tom [10]

Answer:

260cm^2

Step-by-step explanation:

Given,

Base = 20cm

Height = 13cm

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= 20 * 13

= 260cm^2

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3 years ago

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Hello, I need help with radical expressions. I've tried looking it up, but I'm getting no solutions. 11^3sqrt(x-12)=66

Alisiya [41]

Answer:

Here we want to solve the equation:

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First, we can divide both sides by 11^3 to get:

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3 years ago

Whats the answer for c

jenyasd209 [6]

Answer:

$c=6$

Step-by-step explanation:

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2 years ago

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Expand. If necessary, combine like terms.(1+6x)(1-6x)

alex41 [277]

Answer:

$1 - 36x^2$

Step-by-step explanation:

Step 1: Factor out

$(1 + 6x)(1 - 6x)$

$(1 * 1) + (1 * -6x) + (6x * 1) + (6x * -6x)$

$1 - 6x + 6x - 36x^2$

$1 - 36x^2$

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3 years ago

An aircraft seam requires 30 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are d

Lyrx [107]

Answer:

a. 0.00783

b. 0.003876

Step-by-step explanation:

The computation is shown below;

a. The probability for the rivet to be defective is

Let us assume A is the event for seam failure and B would be event for rivets failure

Now

a) $P[A] = 1 - P[B']^{30}$

$0.21 = 1 - P[B']^{30}$

$0.79 = P[B']^{30}$

$P[B'] = 0.79^{\frac{1}{30}}$

P[B'] = 0.99217

P[B] = 1 - P[B']

= 0.00783

b) Now the Next one is

$0.08 = 1 - P[B']^{25}$

$0.89 =P[B']^{30}$

$P[B'] = 0.89^{(\frac{1}{30})}$

= 0.99612

So,

P[B] is

= 1 - P[B']

= 0.003876

We simply applied the above formula so that each one part could be calculated i.e the probabilities of the given question

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3 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?