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scoundrel [369]
2 years ago
13

What is the common difference of the sequence below?

Mathematics
2 answers:
natima [27]2 years ago
8 0

Answer:

3

Step-by-step explanation:

Givens

Start by looking at the 'distance' (number of spaces) between 1 and 10

a = 1

l = 10

n of terms = 4

L_4 = 10

a = 1

Equation

L_4 = a + (n - 1)*d

10 = 1 + (4 - 1)*d

10 - 1 = 3d

9 = 3d

9/3 = d

d = 3

So the terms you get from 1 to 10

1  4   7 10

Discussion

But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1

-11 ____ ____ ____ 1

a = - 11

t = 5

L= 1

1 = - 11 + (5 - 1) d

1 = -11 + 4d                Add 11

1+ 11 = 4d

12 = 4d

12/4 = d

d = 3

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

Could we have done this more directly. Yes, we could have

a = - 11

t = 8       There are 8 terms in all.

L_8 = 10

L_9 = a + (n-1)d

10 = - 11 + (8-1)d

10+11 = 7d

21 = 7d

21/7 = d

d = 3

vagabundo [1.1K]2 years ago
3 0

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

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cestrela7 [59]

Answer:

Step-by-step explanation:

nth term = 3n+2

a) first term = 3+2 = 5

Second term = 3(2)+2 = 8

Third term = 3(3) +2 = 11

b) tenth term = 3(10)+2 = 32

8 0
2 years ago
What is diversification?
egoroff_w [7]

B is actually the correct answer i just took the test and got it right

4 0
3 years ago
What’s the answer for IJG
Flauer [41]

Answer:

<u>∠IJG = 123° </u>

Step-by-step explanation:

Since AB║CD, EF ║GH, we can use the Corresponding Angles Postulate, for finding the following congruent angles:

∠IKL ≅ ∠EIJ and  ∠EIJ  ≅ ∠GJA

∠GJA and ∠IJG are supplementary, therefore:

∠GJA + ∠IJG = 180°

∠IJG = 180° - 57°

<u>∠IJG = 123°</u>

4 0
2 years ago
The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.
Sergeu [11.5K]

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

so

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

so

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

so

x = 18 - 13.64

x = 4.36

8 0
2 years ago
If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'? 
Vlad1618 [11]

Consider triangle XYZ with vertices at points X(1,-3), Y(3,0) and Z(-1,-1). If triangle XYZ is reflected across the line y = 1, then the rule of reflection is

(x,y)→(x,-y+2).

The image X' of point X will have coordinates according to the given rule:

X(1,-3)→X'(1, -(-3)+2)=X'(1,5).

Answer: correct choice is D.

3 0
3 years ago
Read 2 more answers
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