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valentina_108 [34]
3 years ago
14

I WILL GIVE YOU BRAINLIEST,5 STARS, AND THANKS.(P.S. AT LEAST TWO PEOPLE GIVE ANSWER SO I CAN GIVE BRAINLIEST)

Mathematics
2 answers:
bearhunter [10]3 years ago
6 0

Answer:

-103

Step-by-step explanation:

So we have the sequence:

14, 11, 8, 5...

First, note that this is an arithmetic sequence because there is a common difference.

Each subsequent term is three less than the previous term.

To find the 40th term, we can write an explicit formula.

The standard form for an explicit formula for an arithmetic sequence is:

x_n=a+d(n-1)

Where a is the initial term, d is the common difference, and n is the nth term.

We know that the initial term is 14. The common difference is -3 because each term is <em>minus</em> 3 the previous one.

Substitute in a and d:

x_n=14-3(n-1)

We want to find the 40th term. So, substitute 40 for n:

x_{40}=14-3(40-1)

Subtract:

x_{40}=14-3(39)

Multiply:

x_{40}=14-117

Subtract:

x_{40}=-103

So, the 40th term is -103.

djverab [1.8K]3 years ago
3 0

Answer:

14,11,8,5,....2

Step-by-step explanation:

  1. I think this answer is helpful for u but we can go further with this answer

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