Term of a Sequence
Find the 10th term: 5,10,15,20,…
50
Find the 15th term of the arithmetic sequence: 3,8,13,18,…
73
Find the 8th term of a geometric sequence where the first term is 5 and the common ratio is 2.
640
3,7,11,15,…
4n−1
4,7,10,13,…
a_(n-1)+3
Find the 12th term: 40,37,34,31,…
7
What is the common difference of the arithmetic sequence: 45,38,31,24,…?
-7
What is the common ratio of the geometric sequence: 3,−9,27,−81,…?
-3
2,10,50,250,…
2⋅5^(n-1)
25,20,15,10,…
a_(n-1)-5
Find the 8th term: 1,4,9,16,…
64
An arithmetic sequence has a common difference of 6. If the 7th term is 50, what is the first term?
14
The first term of a geometric sequence is 4 and the third term is 36. What are the two possible values for the second term?
12 or -12
20,17,14,11,…
23−3n
−1,1,3,5,…
a_(n-1)+2
What is the 5th term: 1,8,27,64,…?
125
You start a savings plan with an initial deposit of $25. At the beginning of each week, you add $15 to the account. How much money will you have in the account at the end of the 10th week?
$160
Find the sum of the first 4 terms of the geometric sequence: 100,20,4,….
124.8
81,27,9,3,…
81*(1/3)^(n-1)
3,6,12,24,…
2*a_(n-1)
What is the 6th term:
1, 1/2, 1/4, 1/8...
1/32
A concert hall has 22 seats in the first row. Each row after that has 4 more seats than the row in front of it. How many seats are in the 12th row?
66
The formula for the n-th term of a geometric sequence is
a_n=4*3^(n-1)
What is the 4th term?
108
1,8,27,64,…
n^3
80,40,20,10,…
1/2*a_(n-1)