Which Term Of The Arithmetic Sequence 4, 1, -2, -5, . . -29?, A. 9th Term , B. 10th Term , C. 11th Term , D. 12th Term

Which term of the arithmetic sequence 4, 1, -2, -5, . . -29?

a. 9th term
b. 10th term
c. 11th term
d. 12th term

 

Arithmetic Sequence

Finding the nth term:

Which term of the arithmetic sequence 4, 1, -2, -5, . . -29?

a. 9th term   - -20

b. 10th term - -23  

c. 11th term - -26  

d. 12th term - -29

Solution:

  1. Given the following:

a₁ = 4

a₂ = 1

a₃ = -2

a₄ = -5

Solve for d.  

d = a₂ – a₁

d = 1 – 4

d = -3

   2. Solve for the 9th term.

a_n = a₁ + (n - 1)d

a₉ = 4 + (9 – 1)-3

a₉ = 4 + (8)-3

a₉ = 4 – 24

a₉ = -20

   3. Solve for the 10th term.

a₁₀ = a₁ + (n – 1)d

a₁₀ = 4 + (10 – 1)-3

a₁₀ = 4 + (9)-3

a₁₀ = 4 – 27

a₁₀ = -23

    4. Solve for the 11th term.

a₁₁ = a₁ + (n – 1)d

a₁₁ = 4 + (11 – 1)-3

a₁₁ = 4 + (10)-3

a₁₁ = 4 – 30

a₁₁ = -26

   5. Solve for the 12th term.

a₁₂ = a₁ + (n – 1)d

a₁₂ = 4 + (12 – 1)-3

a₁₂ = 4 + (11)-3

a₁₂ = 4 – 33

a₁₂ = -29

Code: 10.3.1.1

For more details on arithmetic sequence, got to the following links:

brainly.ph/question/554855

brainly.ph/question/825249

brainly.ph/question/211921


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