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vitfil [10]
3 years ago
13

Determine the indicated term in the following arithmetic sequences.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

a_5= 14

a_{20}= 80

a_{18}= 340

Step-by-step explanation:

Solving (a):

We have:

a_1=2 --- first term

d = 5 -2 = 3 common difference

The 5h term is:

a_n= a_1 + (n - 1)d

a_5= 2+ (5 - 1)*3

a_5= 14

Solving (b):

We have:

a_1 = 4 --- first term

d = 8 -4 = 4 common difference

The 20h term is:

a_n= a_1 + (n - 1)d

a_{20}= 4+ (20 - 1)*4

a_{20}= 80

Solving (c):

We have:

a_1 = 0 --- first term

d = 20 -0 = 20 common difference

The 18th term is:

a_n= a_1 + (n - 1)d

a_{18}= 0+ (18 - 1)*20

a_{18}= 340

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Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

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Given: n = 44 students, n' = 15+12 = 27 females

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3 years ago
How much longer is a 1inch button than a 3/8 inch button
neonofarm [45]
5/8 inches longer since 8/8 - 3/8 = 5/8
4 0
3 years ago
4x-5y=-3
tresset_1 [31]
4x - 5y = -3  ⇒ 1st equation
2x + 3z = 4  ⇒ 2nd equation
3y - z = 8     ⇒ 3rd equation

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3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
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find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
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-46y/-46 = -118/-46
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x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
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z = (-184 + 177)/23
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9.826 - 12.826 = -3
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2x + 3z = 4
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4.913 - 0.913 = 4
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3y - z = 8
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177/23 + 7/23 = 8
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Answer:

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Step-by-step explanation:

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