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

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500