Arithmetic
Geometric
Sigma Notation
Sequences in General
Miscellaneous
100
What is the common difference of this arithmetic series? (Non Calc) 12+24+36+48+60....
D=12
100
5 ∑ 3n+5 n=1 Find the 5th partial sum. (No-Calc)
70
100

How many terms of a_n are used to calculate

\sum_{n=8}^{105}a_n

108 terms

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

What is the 5th term of the sequence

a_n=6(n-5)+35

a_6=35

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)

\sum_{n=1}^{5}5(\frac{1}{6})^{n-1}

\sum_{n=1}^{5}30(\frac{1}{6})^{n}

\sum_{n=0}^{4}5(\frac{1}{6})^{n}

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

Solve the equation (round to 3 decimal places)

(\sum_{n=3}^5\log(n-1))x=100

x\approx72.453

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

Find the next term of the sequence:

1, 11, 21, 1112, 3112, 211213, 312213, 212223, ___

114213

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