33rd term of this arithmetic sequence 12, 7, 2, -3, -8, …

Modelfino0g

Modelfino0g

Answered question

2022-09-09

33rd term of this arithmetic sequence 12, 7, 2, -3, -8, …

Answer & Explanation

Kody Arellano

Kody Arellano

Beginner2022-09-10Added 10 answers

The general term for any AP is given by T n = a + ( n - 1 ) d

We can get all the information we need from the given terms:

a = 12
d = - 5 the values are decreasing and the terms differ by 5
n = 33 we are asked for the 33rd term, T 33

T 33 = 12 + ( 32 ) × ( - 5 )

T 33 = - 148

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