Arithmetic Sequence Or Not?
Is 4, 6, 7, 20 an arithmetic sequence? Why or why not?
This is not an arithmetic sequence. No common difference between terms.
Find the 5th number in the sequence 4, 6, 8, 10.
The 5th number in the sequence is 12.
Write the explicit form of the sequence 2, 5, 8, 11.
a(n) = 3n -1
Write the recursive form of the sequence 4, 5, 6, 7.
a1 = 4; an = an-1 + 1
A movie theater show has 30 seats in the first row. Each row behind the first row gains two additional seats. How many seats are in the 5th row?
There are 38 seats in the 5th row.
Is -5, 5, -6, 6, 7 an arithmetic sequence? Why or why not?
This is NOT an arithmetic sequence. No common difference!
What is the 10th term in the sequence 8,15,22,29.
The 10th term in the sequence is 71.
Write the explicit form of the sequence 7, 5, 3, 1.
a(n) = -2n + 9
Write the recursive form of the sequence 7, 5, 3, 1.
a1 = 7; an = an-1 - 2
Lanie's trainer suggests that she add weight lifting for 5 minutes during her routine for the first week. Each week thereafter, she is to increase the weight lifting time by 2 minutes. How many minutes will she be devoting to weight lifting in week 10?
Lanie will be devoting 23 minutes in week 10.
Is 55, 40, 25, 10 an arithmetic sequence? Why or why not?
This is an arithmetic sequence. d = -15
Find the 8th term in the sequence 35, 30, 25, 20.
The 7th term in this sequence is 5.
Write the explicit form of the sequence 66, 78, 90, 102.
a(n) = 12n +54
Write the recursive form of the sequence 66, 78, 90, 102.
a1 = 66; an = an-1 + 12
A writer wrote 890 words on the first day, 760 words on the second day and 630 words on the third day, and so on in an arithmetic sequence. How many words did the writer write on the 7th day?
They will write 110 words on the 7th day.
Is -5, -8, -11, -14 an arithmetic sequence. Why or why not?
This is an arithmetic sequence. d=-3
Find the 100th number in the sequence represented by the equation a(n) = 45 + 4(n-1)
The 100th number in the sequence is 441.
Write the explicit form of the sequence 32, 43, 54, 65, 76.
a(n) = 11n +21
Write the recursive form of the sequence 32, 43, 54, 65, 76.
a1 = 32; an = an-1 + 11
After knee surgery our doctor tells you to slowly increase your running time. You should run 12 minutes the first week and each week after increase the time by 6 minutes per day. How many weeks will it be before you run 60 minutes per day?
It will be 9 weeks before you run 60 minutes each day.
Is -26, 54, 134, 214 an arithmetic sequence. Why or why not?
This is an arithmetic sequence. d = 80
Find the 63rd number in the sequence 7, 5.5, 4, 2.5.
The 63rd number in this sequence is -86.
Write the explicit form of the sequence 4.5, 16, 27.5, 39.
f(n) = 11.5n - 7
Write the recursive form of the sequence 4, 11.5, 19, 26.5.
a1 = 4; an = an-1 + 7.5
There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a elementary school, and so on in an arithmetic sequence. What’s the TOTAL amount of students in the elementary school if it consists of grades 1-6?
There are 1980 students in the elementary school.