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:
- 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
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