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aleksklad [387]
3 years ago
9

Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...​

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0

Answer:

S₁₀₀ = 15050

Step-by-step explanation:

There is a common difference between consecutive terms

5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , then

S₁₀₀ = \frac{100}{2} [ (2 × 2) + (99 × 3) ]

       = 50 (4 + 297)

       = 50 × 301

       = 15050

balandron [24]3 years ago
5 0

Answer:

15050

Step-by-step explanation:

Hello!

So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.

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Sidana [21]

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

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7 0
4 years ago
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Debora [2.8K]

Answer:

2950 [Starting from 2,000 bacteria.]

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400/8 = 50

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6 0
4 years ago
Round to the nearest thousandths place
lbvjy [14]

Step-by-step explanation:

1. 65.877

2.765.878

3. 4

4. 54,398.550 or 54,398.55

5 0
3 years ago
Julie has a large red apple in her hand that is 4 ft off the ground. A blue bird sees the apple at an
Dafna1 [17]

Answer:

Step-by-step explanation:

so from the silly drawing,  you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °

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SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use TOA to find the Opp side of the triangle .. which is labeled X

Tan(15) = X / 15

15* Tan(15) = X

4.019   =   X

so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo

the tree... to where the bird is, at least, is 8.019 feet..

did this make sense?  :/  

hope the drawing helped  :P

6 0
3 years ago
Find x .<br><br> Select one:<br> a. 3/4 <br> b. 1/2 <br> c. 2 <br> d. 4
sashaice [31]

we are given

BE=x

ED=x+10

AE=x+1

EC=x+3

we can see that two chords AC and BD are intersecting inside the circle

so, we can use property

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now, we can plug values

(x+1)*(x+3)=(x)*(x+10)

now, we can multiply them

x^2+4x+3=x^2+10x

now, we can move all terms on left side

x^2+4x+3-x^2-10x=0

3-6x=0

x=\frac{1}{2}...............Answer

6 0
3 years ago
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