The 46th term of the arithmetic progression is 288.
What is an arithmetic progression?
An arithmetic progression is a series of numbers called a sequence and the difference from one interval to another is constant.
From the given information:
156, 153, 150, ...
- The first term a = 156
- The common difference d = 3
- n = nth term
The 46th term will be:
[tex]\mathbf{a_{46} = a+ (n - 1) d}[/tex]
[tex]\mathbf{a_{46} = 153+ (46 - 1) 3}[/tex]
[tex]\mathbf{a_{46} = 153 + (45) 3}[/tex]
[tex]\mathbf{a_{46} =288}[/tex]
Learn more about calculating arithmetic progression here:
https://brainly.com/question/6561461
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