Write an equation for the nth term of the arithmetic sequence -5, 0, 5, 10, ... Then find a50

The equation for the nth term of the arithmetic sequence -5, 0, 5, 10 is nth term = 5n - 10

Given:

-5, 0, 5, 10

First term, a = -5

Common difference, d = 0 - (-5)

= 0 + 5

= 5

nth term = a + (n - 1)d

= -5 + (n - 1)5

= -5 + 5n - 5

nth term = 5n - 10

a50 = 5n - 10

= 5(50) - 10

= 250 - 10

= 240

a50 = 240

Therefore, a50 is 240

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240

Step-by-step explanation:

From the question,

a = first term = -5

d = common difference = 5

Nth term = a + (n-1)d

= -5 + (n - 1)5

= -5 + 5n - 5

= 5n - 5 - 5

= 5n - 10

Therefore, a50 which is the 50th term will be:

= 5n - 10

= 5(50) - 10

= 250 - 10

= 240

john earns $14.00 for two hours of work.

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step-by-step explanation: