Arithmetic
Geometric
Sigma Notation
Factorial
Story Problems
100
What is the common difference of this arithmetic series? (Non Calc) 12+24+36+48+60....
D=12
100
Find the common ratio of 10,2,2/5, 2/25, 2/125 (No Calc)
R= 1/5
100
5 ∑ 3n+5 n=1 Find the 5th partial sum. (No-Calc)
70
100
Simply the factorial expression. (10! ∗ 5!)/ (4! ∗ 8!) (No Calc)
450
100
The starting salary of LeBron James is 34,000,000 dollars with a guaranteed increase of 2,000,000 dollars each year. Determine LeBron's total earnings after 4 years. (Calc)
Sn= $148,000,000
200
Find the sum of the integers 3 through 13 using the finite sum formula. (Calc)
Sn= 88
200
Find the nth term of the geometric sequence. a1=1 a4=8 n=10 (Calc)
a10=512
200
∞ ∑ 3(4/9)^(n) n=1 (calc)
S=12/5
200
Simply the factorial expression. 9!/5! (Calc)
3024
200
In the first trip bringing bags of groceries to the car, A mom brings 38 bags of groceries. In her second trip, she brings 4 fewer bags of groceries. Because each trip is shorter than the preceding trip, the mom estimates that the same pattern will continue. Estimate the total number of bags of groceries made if there are another six trips into the store. (calc)
Sn= 192
300
Write the first five terms of the sequence. Find the common difference. (Non Calc) A1=-25 Ak+1=AK-7
D=-7 A1=-25 A2=-32 A3=-39 A4=-46 A5=-53
300
Find the sum of the infinite geometric series if possible, if not explain why. 3+6+12+24+...
The common ratio is not possible because the rate exceeds one/ negative one.
300
Write sigma notation from the following series 5, 5/6, 5/36, 5/216, 5/1296 (no-calc)
5 ∑ 5(1/6)^n-1 n=1
300
Simply the factorial expression. (2n-8)/(2n-6) (No Calc)
1/(2n-8)(2n-7)
300
A skydiver with no air resistance jumps from an airplane. During the first second of fall, he falls 5.3 meters, during the second second, he falls 14 meters, during the third second, he falls 22.7 meters, and during the fourth second, he falls 31.4 meters. If this continues, how many meters would he have fallen total in 12 seconds.
Sn=678.6 meters
400
Find the sum using the given sequence. (Calc) 6,-1,-8,-15-....-57
Sn=-255
400
Using the equation an=6(-1/2)^n-1 find the sum of the first eight terms of the sequence starting at one. If needed round to the nearest hundredth. (Calc)
Sn= 3.98
400
Write sigma notation from the following series 5, 5/2, 5/4, 5/8, 5/16, 5/32, 5/64, 5/128 (no-calc)
8 ∑ 5(1/2)^n-1 n=1
400
Write the first five terms of the sequence. an=24/n! (Calc)
a1=24 a2=12 a3=4 a4=1 a5=24/120
400
You go to work for the Cleveland Cavaliers, they pay you $.01 the first day, $.04 the second day, $.16 the third day and so on. If the daily wage keeps quadrupling, what will your total income be after 17 days?
Sn= $57,266,230.61
500
Find the 8th partial sum of the following arithmetic sequence. A1=5 A5=17 (Calc)
Sn= 124
500
Find the 15th partial sum of the following geometric sequence. (Calc) a4=114 a7=3078
Sn=3,029,133.29
500
Write sigma notation from the following series 2, 6/7, 18/49, 54/343, 162/2401, 486/16807 (no-calc)
6 ∑ (14/3)((3/7)^n) n=1
500
Write the first five terms of the sequence (assuming n begins with 0) an=(-1)^(2n)/(2n)! (calc)
a1=1 a2=1/2 a3=1/24 a4=1/720 a5=1/40320
500
A deposit of $30 is made at the beginning of each month in account the pays 6% interest compounded monthly. The balance A in the account at the end of 10 years is given by A=30(1+.06/12)+.....+....+30(1+.06/12)^120 Find A.
Sn=$4940.96
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