Arithmetic sequence
Arithmetic Series
Geometric Sequence
Geometric Series
100
Determine whether this formula is explicit or recursive: a1=-4, an=2an-1
Recursive
100
What is the formula to find the sum of a finite arithmetic series?
(a1+an)/2 . n
100
What is the recursive formula to find the nth term of a geometric sequence?
a(n-1).(r)
100
The common ratio in a geometric series is 6 and the first term is 240. Find the sum of the first 7 terms in the series.
13436880
200
What is the explicit formula to find the nth term of an arithmetic sequence?
an= a1+d(n-1)
200
Find the sum of: 2,4,6,8,10,12,14,16,18,20.
110
200
d(n)=4(-5)(n-1)
What is the sixth term in the sequence?
-12500
200
Find the sum of the first 9 terms in the following geometric series . Round your answer to the nearest hundreth.
63+21+7+....
94.50
300
What is the next term of this arithmetic sequence?
-3,-8,-13,-18,_____
-23
300
13275
300
b(1)=20
b(n)=b(n-1).(2)
What is the 5th term in the sequence?
240
300
The common ratio of a geometric series is 1/4 and the sum of the first four terms is 170. Find the first term of the series.
128
400
b(n)=-2-4(n-1), find the 12th term.
-46
400
The arithmetic series ai is defined by the formula:
a1=6
ai=a(i-1)-4
Find the sum of the first 255 terms of this sequence.
-128520
400
d(n)=7/16.(2)(n-1)
What is the fourth term of the sequence?
7/2
400
The common ratio of a geometric series is 4 and the first term of the series is 22. Find the sum of the first 8 terms of the series.
480,590
500
d(1)=4
d(n)=d(n-1)-16
Find the 4th term in the sequence.
-44
500
Find the sum of -60-54-48+...+2028+2034.
345,450
500
Find the missing term for this geometric sequence:
4,___,5.76.
4.8
500
Each year, Sarah earns a salary that is 5% higher than her previous year's salary. In her first four years at this job, she earned a total of ₱ 1,000,000. What was Sarah's salary in her 1st year at this job? Round to the nearest hundredth.
₱ 232,011.83