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bearhunter [10]
3 years ago
13

A(1 ) = -2 a(n) = a(n - 1) - 5 Find the 4 ^ (th) term in the sequence .

Mathematics
1 answer:
RideAnS [48]3 years ago
7 0

Answer:

  -17

Step-by-step explanation:

Each term in the sequence is 5 less than the one before, so the first 4 terms are ...

  -2, -7, -12, -17

The 4th term of the sequence is -17.

__

The general term (an) of the sequence can be written as ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference. Here, those are ...

  a1 = -2, d = -5

so the general term is ...

  an = -2 -5(n -1)

We can use this to find the 4th term:

  a4 = -2 -5(4 -3)

  a4 = -17

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The required simplified value of B - A = -6.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Since, line Ax + By = 3 and x + 3y = -5 are parallel than slope of both the line will be same,
m = -1/3 = -A/B
From above
A = B/3  - - - - -(1)


Now line Ax + By = 3 passed through the point (-7, 2). So,
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Now put B in equation 1
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Here,
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Thus, the required simplified value of B - A = -6.

Learn more about simplification here: brainly.com/question/12501526

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