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LiRa [457]
3 years ago
12

The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?

Mathematics
2 answers:
denis-greek [22]3 years ago
7 0
The sequence would be 40,42,44,46,48,50.
The second number is 42.
Finger [1]3 years ago
3 0

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40

Now, the second number from the above six consecutive even numbers  is x+2.

Substitute the value of x in it, we get

The second number in this sequence = x+2=40+2=42

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Solve the following inequality:<br> 2. 4x + 6 &lt; 38
seraphim [82]

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

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Step by step solution :

STEP

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Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

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STEP

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2 years ago
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5 0
3 years ago
Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.
xxMikexx [17]

Answer:

a_1=1.04

Step-by-step explanation:

We have a geometric  sequence with:

Sn = 89,800, r = 3.4, and n = 10

Where

Sn is the sum of the sequence

r is the common ratio

a_1 is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

S_n=\frac{a_1(1-r^n)}{1-r}

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3 years ago
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