1. I. A. Find the difference of each arithmetic sequence.
1. 5, 8, 11, 14,...
2. 4, 14, 24, 34, 44,…
3. 9, 15, 21, 27,….
4. 7, 2, -3, -8,…..
5. 7, 14, 21, 28,…
B. Tell if the sequence is arithmetic. Write AS if ARITHMETIC, and mark X if NOT.
1. 1, 1, 2, 3, 5, 8, 13,….
2. 1, 3, 5, 7, 9,……
3. 1, 2, 4, 8, 16,…..
4. 2, 6, 10, 14, 18,….
5. 1, 2, 3, 4, 5, 6,….
II. Answer the ff.
1. Find the difference in the arithmetic sequence.
1, 4, 7, 10, 13, 16,…
2. Find the difference in the arithmetic sequence
1, ½, 0, -1/2,…
3. Give the formula used in arithmetic sequence finding any terms.
4. Insert 3 arithmetic means between 7 and 23.
5. Find the 17th of the sequence 7, 10, 13, 16,…
6. Find the formula of the sequence 3, 5, 7, 9,…
7. Insert 2 arithmetic means between 11 and 21.
8. Find the arithmetic mean between 34 and 50.
9. Solve: t6= 19 d= 3 n=6 Find: t1 and t10.
10. Insert 3 arithmetic means between 13 and 61.
III.
Solve
1. There are 45 chairs in a triangular library. The first row has 13 chairs, 2nd row has 11
chairs, 3rd row has 9 chairs, and so on. How many rows the library has? Write the
sequence. (4 pts.)
2. A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third
row, and so on in the same increasing pattern. If the theater has 20 rows of seats, how
many seats are in the theater? Write the sequence. (6 pts.)

2. I. Write geometric if GEOMETRIC sequence and give the common ratio. Write NOT if
the sequence is not geometric.
1. 2, 4, 8, 16, …..
2. 18, 12, 8,….
3. 1, -3, 9, -27, ….
4. 2, 6, 18, 54, …
5. 2, 5, 6, 8,…
6. 2, 4, 8, 16,….
7. 1, 3, 6, 10,…..
8. 1.5, 3, 6, 12,….
9. 1, ½, ¼, 1/8, 1/16,….
10. 1, -1, 1, -1, 1,…..
II. Answer the ff.
1. Give the 10th term of the geometric sequence if the 6th term is 90 and a common
ratio of 3.
2. What is the common ratio of the sequence 4, 2, 1, 0.5, 0.25,…..
3. Give the general formula for geometric sequence.
4. Give the formula for geometric series. If r>1
5. If r<1
6. Find the sum if a1= 5 r=2 n=10
Give the first 4 terms of the ff.
7. 2n-1
8. 3(2)n-1
9. ½(-2)n-1
10. 27(1/3)n-1
III. Solve
1. How much is going to taxes? Suppose that we track a tax refund of $100. Each
time money is spent 8% goes towards taxes and the rest gets spent again. How
much of the original $100 will go back to taxes.
2. write the rational number 0.9717171... as a ratio of two positive integers.
3. Find r given that a1 = 10 and a20 = 10-18
4. Find a20 given that a3 = 1/2 and a5 = 8
5. Write the rational number 5.31313131... as the ratio of two integers.
6. Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find
the exact value of the term a30 of the sequence.