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Steven deposits $200 in a savings account, and decides to increase the amount by $5 every month. Identify the function that describes the arithmetic sequence, and the amount he should deposit after 8 months.
possible answer: D = 8n + 200; $240
possible answer: D = −5n + 200; $160
possible answer: D = 5n + 200; $240
possible answer: D = −8n + 200; $160


Sagot :

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

  • If he decides to increase the amount by $5 every month, then the amount added after n months will be $5n

  • The function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

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