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Alex777 [14]
3 years ago
13

An arithmetic sequence has first term 25 and common difference 3. Find the 50th

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

172

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 25 and d = 3, thus

a_{50} = 25 + (49 × 3) = 25 + 147 = 172

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Can you break down how to solve the problem ?
Montano1993 [528]

Answer:

A.  y  = \frac{-5x}{2} - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

       5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

  • To solve this problem, first, we need to find the slope of the given line.

     Every linear equation have the formula:  y = mx + c

     m is the slope of the line, c is the y- intercept

           5x + 2y = 12

 Express this equation as y = mx + c

                 2y = -5x + 12

                    y = \frac{-5}{2}x  + 6

The slope of this line is \frac{-5}{2}

  • Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

                  Slope of the line parallel is \frac{-5}{2}

  • Our new line will also take the form y=mx + c,

          Coordinates = -2, 4, x = -2 and y = 4

                     m is \frac{-5}{2}

Now let us solve for C, the y-intercept;

                     4 = - 2 x \frac{-5}{2}  + C

                      4 = 5  + C

                       C = -1

The equation of the line is therefore;

                 y  = \frac{-5x}{2} - 1

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3 years ago
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C ) sum 

hope it helped...

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