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Roman55 [17]
4 years ago
6

The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31

Mathematics
1 answer:
Natali [406]4 years ago
3 0

Answer: d=5

Step-by-step explanation:

Arithmetic progression

An=a1+d(n-1)

An= nth term

A1= first term

D= common difference

N= nth position

We are given the 4th and 7th terms

For 4th term,n=4

A4=a1+d(4-1)

A4= 16

16= a1+d(4-1)

16= a1+3d........equation 1

For the 7th term,n=7

A7=a1+d(7-1)

A7= 31

31=a1+6d......equation 2

Bring them together

16=a1+3d

31=a1+6d

Subtract equation 1 from 2

So we have

15=3d

D=15/3

D=5

Therefore, the common difference is 5

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1: -5 = 3m + c
2: -2 = 0 + c

From equation 2, we knew c = -2
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3 years ago
Ivan is 162.4 centimeters tall and is building a tower out of cans that he wants to be as tall as he is. He wants to know how ma
Yuliya22 [10]

Answer:

he needs 24 cans

Step-by-step explanation:

162.4 - 28 = 134.4

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3 years ago
30, 400 in decimals​
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Step-by-step explanation:

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Read 2 more answers
A larger number is five more than twice the smaller number their sum is 80 find the number
Oksana_A [137]

Answer:

L= 5+2s

Step-by-step explanation:

Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

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3 0
4 years ago
If one factor of x2 + 2x – 24 is (x+6), what is the other factor?
11111nata11111 [884]

Answer:

Your answer would be (x-4)

Step-by-step explanation:

If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.

(x+_)(x+_)

And since we already know one of the factors, we can put that in our expression.

(x+6)(x+_)

Now remember the trick FOIL.

You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.

To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4

Hope that makes sense, and good luck!

3 0
4 years ago
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