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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