Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that she owns it.

a. Is the sequence formed by the value at the beginning of each year arithmetic, geometric, or neither? Explain.
b. Write an explicit formula to represent the sequence.
c. Find the value of the computer at the beginning of the 6th year

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The numbers of seats in the first 12 rows of a high-school auditorium form an arithmetic sequence. The first row has 9 seats. The second row has 11 seats.

a. Write a recursive formula to represent the sequence.
b. Write an explicit formula to represent the sequence.
c. How many seats are in the 12th row?

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Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ...

a. If you were to write this series in summation notation, give
i. the lower limit of the sum
ii. the upper limit of the sum
iii. the explicit formula of the sum

b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

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Beads: Add 7 to each row.

3+10+17+24+31+38+45+52+59+66+73+80+87+94+101+108+115+122

= 1,125

2 answers

computer:
(a) geometric, since each term is 0.90 times the last
(b) 1250(0.90)^(n-1)
(c) 1250(0.90)^5

seats:
a=9
d = 11-9 = 2
a_n = a_(n-1) + 2
a_n = 9 + (n-1)*2 = 2n+7

seats:

17
∑ 3+7k
k=0

S18 = 18/2 (3 + 17*7)
bruh. ya'll tweaked out or sum i just want the answer to this summer school sucks.