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ARITHMETI
C
SEQUENCE
a. define an arithmetic
sequence
OBJECTIVES
b. illustrate an arithmetic
sequence
c. solves problems involving
arithmetic sequence
Look at the sequences
below. Can you see the
specific pattern they
follow?
2, 4, 6, 8. ...
3, 6, 12,
24, ...
5, 10,15,20, ...
100, 50, 25, ...
add 2
2, 4, 6, 8, ...
mutiply by 2
3, 6, 12, 24, ...
add 5
5,
10,15,20, ...
divide by 2
100, 50, 25, ...
OBSERVE THE
FOLLOWING
SEQUENCES:
4, 7, 10,
13, ...
33, 38, 43, 48, ...
-2, -6, -10,-14, ...
100, 98,
96, ...
A SEQUENCE IN WHICH TERM AFTER
THE FIRST IS FORMED BY ADDING A
FIXED NUMBER TO THE PRECEDING
TERM IS CALLED ARITHMETIC
SEQUENCE. THE FIXED NUMBER OR
CONSTANT IS CALLED THE COMMON
DIFFERENCE DENOTED BY .
𝒅
Determine if the sequence is
arithmetic or not. If it is, find
the common difference and the
next three terms of the
sequence.
-4, 3, 10, 17, …
Thus, the common difference is 7 and the next three
terms are 24, 31, 38.
4. Seventy-two children were
equally divided in 8 groups by
the teacher.
How many children are there
in each group?
A. 9
B. 6
C. 7
D. 8
ANSWER
A. 9
5. Tammy picked 48 flowers.
She placed them equally into 8
vases. How many flowers are
in each vase?
A. 4
B. 5
C. 6
D. 7
ANSWER
C. 6
6. Kira has 42 stickers. She puts
the
same number of stickers on
each of 6 folders. Which
expression shows how many
stickers she puts on each folder?
6 ÷ 42 = N 42 ÷ 6 = N
ANSWER
42 ÷ 6 = N
7. Landon has 6 marigold
plants. He plans to split the
plants equally between 2 flower
pots. How many plants should
Landon place in each pot?
4 plants 3 plants
ANSWE
R
3 plants
8. What is the quotient of
256 divide by 8?
A. 56
B. 36
C. 32
D. 11
ANSWER
C. 32
arithmetic sequence for grade 10 mathematics

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arithmetic sequence for grade 10 mathematics

  • 2. a. define an arithmetic sequence OBJECTIVES b. illustrate an arithmetic sequence c. solves problems involving arithmetic sequence
  • 3. Look at the sequences below. Can you see the specific pattern they follow? 2, 4, 6, 8. ... 3, 6, 12, 24, ... 5, 10,15,20, ... 100, 50, 25, ...
  • 4. add 2 2, 4, 6, 8, ...
  • 5. mutiply by 2 3, 6, 12, 24, ...
  • 7. divide by 2 100, 50, 25, ...
  • 8. OBSERVE THE FOLLOWING SEQUENCES: 4, 7, 10, 13, ... 33, 38, 43, 48, ... -2, -6, -10,-14, ... 100, 98, 96, ...
  • 9. A SEQUENCE IN WHICH TERM AFTER THE FIRST IS FORMED BY ADDING A FIXED NUMBER TO THE PRECEDING TERM IS CALLED ARITHMETIC SEQUENCE. THE FIXED NUMBER OR CONSTANT IS CALLED THE COMMON DIFFERENCE DENOTED BY . 𝒅
  • 10. Determine if the sequence is arithmetic or not. If it is, find the common difference and the next three terms of the sequence. -4, 3, 10, 17, … Thus, the common difference is 7 and the next three terms are 24, 31, 38.
  • 11. 4. Seventy-two children were equally divided in 8 groups by the teacher. How many children are there in each group? A. 9 B. 6 C. 7 D. 8
  • 13. 5. Tammy picked 48 flowers. She placed them equally into 8 vases. How many flowers are in each vase? A. 4 B. 5 C. 6 D. 7
  • 15. 6. Kira has 42 stickers. She puts the same number of stickers on each of 6 folders. Which expression shows how many stickers she puts on each folder? 6 ÷ 42 = N 42 ÷ 6 = N
  • 17. 7. Landon has 6 marigold plants. He plans to split the plants equally between 2 flower pots. How many plants should Landon place in each pot? 4 plants 3 plants
  • 19. 8. What is the quotient of 256 divide by 8? A. 56 B. 36 C. 32 D. 11