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Soloha48 [4]
2 years ago
10

Find the first three terms of the arithmetic series described. a_1=1,a_n=19,S_n=100

Mathematics
1 answer:
Rudik [331]2 years ago
3 0

Answer:

1, 3, 5

Step-by-step explanation:

The sum of an arithmetic series is:

S_n = n (a_1 + a_n) / 2

100 = n (1 + 19) / 2

n = 10

The nth term of an arithmetic sequence is:

a_n = a_1 + d (n − 1)

19 = 1 + d (10 − 1)

d = 2

The common difference is 2.  So the first three terms are 1, 3, and 5.

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12. Find x. (x + 20)° (5x - 8)°​
ololo11 [35]

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

Simplifying

x + 20 = 5x + -8

Reorder the terms:

20 + x = 5x + -8

Reorder the terms:

20 + x = -8 + 5x

Solving

20 + x = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

20 + x + -5x = -8 + 5x + -5x

Combine like terms: x + -5x = -4x

20 + -4x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0

20 + -4x = -8 + 0

20 + -4x = -8

Add '-20' to each side of the equation.

20 + -20 + -4x = -8 + -20

Combine like terms: 20 + -20 = 0

0 + -4x = -8 + -20

-4x = -8 + -20

Combine like terms: -8 + -20 = -28

-4x = -28

Divide each side by '-4'.

x = 7

Simplifying

x = 7

8 0
3 years ago
What is the next term in the sequence 58, 47, 36, 25, ...
Triss [41]

Answer:

14

Step-by-step explanation:

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3 0
3 years ago
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EastWind [94]
4 (i literally had to think about this cause i thought it was too easy )
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3 years ago
W(n)=n-1; find w-(4)
loris [4]

Answer:5

Step-by-step explanation:

w(n)=4-1

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6 0
3 years ago
1,3,2,6,3,9,4,12... what will be the eleventh number in the pattern?
katrin [286]

Answer:

11th number is 6

Step-by-step explanation:

7 0
1 year ago
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