Sequence lists
What is the common difference in the sequence
5, 12, 19, 26, 33, ...?
d = 7
Is this an arithmetic or geometric growth pattern?
a_1=6
a_n=a_(n-1)+9
arithmetic
Is this an arithmetic or geometric growth pattern?
a_n = 3(2)^(n-1)
geometric
What is the sum of 2 + 4 + 6 + 8 + ... + 16?
72
How many terms are being added in the sum
sum_(j=1)^7 3 + 2(j-1)?
7 terms
What is the common ratio in the sequence
10, 30, 90, 270, 810,...?
r = 3
What is the common ratio in the sequence described by
a_1=10
a_n=a_(n-1)/5
r = 1/5
What is the common ratio of the sequence described by
a_n = 10(1/3)^(n-1)?
r=1/3
What is the sum of 7 + 12 + 17 + ... + 37?
(n(a_1+a_n))/2
7(44)/2 = 154
What are the first three terms in the sum
sum_(j=1)^7 8 + 5(j-1)?
8 + 13 + 18
What is the common difference in the sequence
33.75, 23.25, 12.75, 2.25, ...?
d = -10.5
What is the common difference of the sequence described by
a_1=6
a_n=12+a_(n-1)
What is the common ratio described by the equation
a_n=10 -3(n-1)?
d = -3
What is the sum of 7 + 12 + 17 + ... + 177?
Hint: 177 = 7 + 5(34)
35(184)/2 = 3220
What is the last term in the sum
sum_(j=1)^7 3 + 2(j-1)?
15
What is the common ratio of the sequence
80, 60, 45, 33.75,...?
r = 3/4, or 0.75
List the first five terms in the sequence described by
a_1=18
a_n=a_(n-1)-5
18, 13, 8, 3, -2
What are the first five terms in the sequence described by
a_n = 3(2)^(n-1)?
3, 6, 18, 54, 162
What is the sum of 4 + 7 + 10 + ... + 304?
101(308)/2 = 1919
What is the last term in the sum
sum_(j=1)^17 8 + 5(j-1)?
8 + 5(16) = 88
What is the 6th term in the sequence
10, 23, 49, 101, ...?
413
List the first three terms of the sequence described by
a_1=3
a_n=2a_(n-1)-5
3, 1, -3
What is the 13th term in the sequence described by
a_n=6-2(n-1)?
-18
What is the sum of
a_1+a_2+a_3+...+a_n?
(n(a_1+a_n))/2
List the first three terms in the sum
sum_(j=1)^10 (3j)/(j+2)
3/3+6/4+9/5