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anonymous
 one year ago
As part of her retirement savings plan, Patricia deposited $350.00 in bank account during her first year in the workforce. During each subsequent year, she deposited $45.00 more than the previous year. Find how much she deposited during her twentieth year in the workforce. Find the total amount deposited in the twenty years.
anonymous
 one year ago
As part of her retirement savings plan, Patricia deposited $350.00 in bank account during her first year in the workforce. During each subsequent year, she deposited $45.00 more than the previous year. Find how much she deposited during her twentieth year in the workforce. Find the total amount deposited in the twenty years.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 1205 for the total but the answer choices want another number.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The first year is the first term of a sequence. \(a_1 = 350\) \(a_2 = 350 + 1 \times 45\) \(a_3 = 350 + 2 \times 45\) \(a_n = a_1 + (n  1)45\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is an arithmetic sequence with the common difference being 45.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a.$1205;$15,550 b.$1250;$16,000 c.$1250;$32,000 d.$1205;$31,100

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large a_{n} = a_1 + (n  1)45\) \(\large a_{20} = 350 + (20  1)45\) \(a_{20} = 1205\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1$1205 is the amount deposited just in the 20th year. Now we need the sum of all deposits from the 1st year to the 20th year.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so like 395 for the second year

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0440 for the 3rd year?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes. There is a formula we can use for the sum.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large S_n = \dfrac{n(a_1 + a_n)}{2} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The sum of terms 1 to term n is the formula above.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large S_{20} = \dfrac{20(350 + 1205)}{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok 20=n ai=350 an=1205...i see.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. n is the number of terms we are adding. Here it is 20.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0got it, i have a test over this tomorrow, im nervous. how can you tell this word problem apart from others?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In this problem, we start with $350. Then each year we add $45. Since the amount for each subsequent year is 45 more, that means we have a constant difference. This means we are dealing with an arithmetic sequence.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i understand now. i really appreciate your help! @mathstudent55
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