Arithmetic
Geometric
Sigma Notation
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
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
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
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
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