Arithmetic Sequences 1
1. Find a formula for the nth term of these sequences:
(a) 3, 7, 11, 15, 19, . . . .
(b) -6, 3, 12, 21, . . . . .
(c) 15, 15.7, 16.4, 17.1, . . . . .
(d) 25.3, 26.1, 26.9, 27.7, . . . . .
(e) 12, 8, 4, 0, -4, . . . . .
(f) -3, -8, -13, -18, . . . . .
2. Find the 100th term in each of the sequences given in question 1.
3. An arithmetic sequence has 3rd term 6 and 5th term 12.
(a) What is the common difference?
(b) What is the 6th term?
(c) What is the first term?
(d) What is the nth term?
(e) What is the 100th term?
4. An arithmetic sequence has 10th term 18 and 15th term 53.
(a) What is the common difference?
(b) What is the 14th term?
(c) What is the 9th term?
(d) What is the first term?
(e) What is the nth term?
(f) What is the 100th term?
5. An arithmetic sequence has nth term formula 12n  7 .
(a) What is the first term?
(b) What is the 2nd term?
(c) What is the common difference?
(d) What is the first number is the sequence to exceed 1000?
Sums of Sequences
1. Find the sum of the first 100 terms of the following sequences:
(a) 3, 7, 11, 15, 19, . . . .
(b) -6, 3, 12, 21, . . . . .
(c) 15, 15.7, 16.4, 17.1, . . . . .
(d) 25.3, 26.1, 26.9, 27.7, . . . . .
(e) 12, 8, 4, 0, -4, . . . . .
(f) -3, -8, -13, -18, . . . . .
2. After how many terms does the sum of each of the sequences in question 1(a) to (d)
exceed 1000?
3. What is the sum of the first 100 integers?
4. What is the sum of the first 100 even numbers?
5. What is the sum of the first 100 odd numbers?
6. What is the sum of the first 100 multiples of 3?
7. What is 101 + 102 + 103 + . . . . 200?
8. What is 1005 + 1010 + 1015 + . . . . 2000?