Respuesta :
Answer:
140
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140
Answer: a₂₄ = 140
Step-by-step explanation:
The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex] where
- a₁ is the first term of the sequence
- d is the difference between terms
- n is the term you are looking for
Given: a₁ = 2, d = 6, n = 24
a₂₄ = 2 + 6(24 - 1)
= 2 + 6(23)
= 2 + 138
= 140
The 24th term is 140.