Respuesta :
Answer:
- 213
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
d = 27 - 32 = - 5 and a = 32, hence
[tex]a_{50}[/tex] = 32 + (49 × - 5) = 32 - 245 = - 213
The 50th term of the arithmetic sequence is -213.and this can be determined by using the [tex]\rm T^{th}[/tex] term of the arithmetic sequence formula.
Given :
Arithmetic sequence --- 32,27,22,17,12
The difference of the arithmetic operation is given by the formula:
[tex]a_2-a_1 = 27 - 32 = - 5[/tex]
The [tex]\rm T^{th}[/tex] term of the arithmetic sequence is given by the formula:
[tex]\rm T_n = a + (n-1)d[/tex]
where a is the first term, n is the total number of terms, d is the difference, and [tex]\rm T^{th}[/tex] is the term of the arithmetic sequence.
[tex]\rm T_{50} = 32 - (50-1)5[/tex]
[tex]\rm T_{50} = 32 - (49)\times 5[/tex]
[tex]\rm T_{50} = -213[/tex]
The 50th term of the arithmetic sequence is -213.
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https://brainly.com/question/25715593
