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Tems11 [23]
3 years ago
6

The third term in a sequence is 11.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0

Answer:

a(n) =  a(n - 1) - 4, with a(1) = 19  

Step-by-step explanation:

If the rule for finding each new term is "take away 4," then this is an arithmetic sequence with first term a(1) (unknown) and third term 11.  The "common difference" is -4.

Then the formula for this arithmetic sequence is found as follows:

The third term is 11.  The previous (second) term is 4 greater, or 15.  The first term (coming before 15) is 19.

Thus, the general formula is

a(n) =  a(n - 1) - 4, with a(1) = 19  

Check:  Does a(1) come out to 19?  Is 19 - 4(1 - 1) = 19?  YES

Does a(2) come out to 15?  Is 19 - 4 = 15?  YES

Does a(3) come out to 11?  Is 15 - 4 = 11?  YES

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Find the volume of a right rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units. A. 12 cubic
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Read 2 more answers
Need help sovling this for class
Reil [10]

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
  5. x = 12     Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

#SPJ1

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2 years ago
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