The document discusses how to find the nth term of an arithmetic sequence using examples related to seating arrangements in a restaurant. It outlines the relationship between the number of tables and the number of guests that can be seated, illustrating this with a pattern in guests per tables. Additionally, it provides various problems to find specific terms in given arithmetic sequences.

1. ARITHMETIC
SEQUENCE
Finding the nth term

2. A restaurant has
square tables which
seat four people per
table. When two tables
are placed together, six
people can be seated.
If the restaurant staff
can only prepare 10
tables placed together,
how many guests can
you bring in the
restaurant?

3. In an arithmetic sequence, if a1 is the first
term and d is the common difference, then the
terms in the arithmetic sequence can be written
as
a1 = the first term
a2 = (a1 + d), the second term
a3 = (a1 + d) + d or a1 + 2d , the third term
a4 = (a1 + 2d) + d or a1 + 3d, the fourth term
a5 = (a1 + 3d) + d or a1 + 4d, the fifth term
The coefficient of d is one less than the
number of term n, that is (n ‒ 1)d .

4. The nth term in an arithmetic sequence
is defined as
where:
a1 = the first term
an = the missing term
n = the number of terms
d = the common difference

5. A restaurant has
square tables which
seat four people per
table. When two tables
are placed together, six
people can be seated.
If the restaurant staff
can only prepare 10
tables placed together,
how many guests can
you bring in the
restaurant?

6. Look for a pattern that relates the number of
tables to the number of people that can be
seated in the activity presented earlier.
1 table 2 tables 3 tables
4 guests
6 guests
8 guests

7. The resulting sequence will be
4, 6, 8, … a10.
Given:
a1 = 4 d = 2 n = 10 a10 = ?

8. Consider the following:
1. Find the 18th term in the sequence
7, 9, 11, 13, …

9. 2. In the arithmetic sequence
8, 5, 2, -1, …
What is the 15th term?

10. 3. In the arithmetic sequence
-3, 2, 7, 12, …
What is the 12th term?

11. 4. Find the 18th term in the sequence
3, 10, 17, 24, …

12. 5. What is the 10th term in the
arithmetic progression
0.2, 0.9, 1.6, 2.3, …?

13. VALUES INTEGRATION
Inlife, you experience a sequenceof
ups anddowns.
What should
one’s attitude be
towards ups and
downs in life?

14. Find the specified term for each arithmetic
sequence.
,
,
1) 1.4, 4.5, 7.6, … 51st term
2) 7, 4, 1, … 17th term
3) 3, 3.25, 3.5, … 29th term
4) 14, 6, -2, … 16th term
5) 1, ½, 0, … 10th term

15. Thank you!