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dmitriy555 [2]
3 years ago
14

Consider the sequence:

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

a_n = 3 + a_n − 1 a_ n = 3 + a_ n − 1

Step-by-step explanation:

The first term is 8, so a_1 = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: an = 3+a_n-1 which says "to get the nth term, add 3 to the term just before the nth term"

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What is the division expression that is the same as 1/5 x 1/4?
Fittoniya [83]
<h3>Hello!</h3>

=================================

Option A is correct & here's why.

When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)

So if we have 1/4, then its reciprocal is 4/1, or just 4.

Hence, Option A (1/5÷4) is correct.

==============================

<h3>Notes:</h3>
  • Hope everything is clear & let me know if you have any questions!
  • Enjoy your day!
  • Always remember: Knowledge is Power! :-)
<h3>Answered by:</h3>

~DiamonD~

7 0
2 years ago
The total charge on 7 particles is −42 units. All the particles have the same charge.
qwelly [4]
If they have the same charge
x+x+x+x+x+x+x=-42
7x=-42
x=-6
so to check our answer
-6-6-6-6-6-6-6=-42
-12-12-12-6=-42
-24-18=-42
-42=-42
5 0
4 years ago
Read 2 more answers
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number o
Margaret [11]

Answer:

Mark has 13 marbles

Don has 40 marbles

Step-by-step explanation:

Let the number of Mark's Marbles = M

Let the number of Don's Marble = D

D = 1 + 3M - - - - (1)  (Don has 1 more than 3 times the number of marbles Mark has)

D + M = 53 - - - - - (2) (total number of marbles is 53)

puttin the value of D from equation (1) into equation (2)

(1 + 3M) + M = 53

1 + 3M + M = 53

1 + 4M = 53

4M = 53 - 1 = 52

4M = 52

M = 52 ÷ 4

M = 13

finding D by putting the value of M (M = 13) into equation 1

D = 1 + 3M - - - - (1)

D = 1 + 3 (13)

D = 1 + 39

D = 40

∴ Mark has 13 marbles

Don has 40 marbles

4 0
4 years ago
Which statements regarding triangle e f g are true? select three options. e f f g greater-than e g e g f g greater-than e f e g
PSYCHO15rus [73]

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.

<h3>What is the triangle inequality theorem?</h3>

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

  • (a+b) > c
  • (b+c) > a
  • (c+a) > b

For the given triangle, using the triangle inequality law, we can write,

EF + FG > EG

FG + EG > EF

EG + EF > FG

Hence, the correct options are A, B, and C.

Learn more about the Triangle Inequality Theorem:

brainly.com/question/342881

#SPJ1

7 0
2 years ago
What is the answer to this reply ASAP plz
sladkih [1.3K]

Answer:

A

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
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