Page 23 - 新思维数学学生用书6 样章

2 Numbers and sequences

2 The numbers in this sequence increase by equal amounts each time.
a Write the three missing numbers.

3, , , , 15

b What is the term-to-term rule for the sequence?
c What is the position-to-term rule for the sequence?

3 a Follow the instructions in the flow diagram to generate a sequence.

Is the YES
answer
Start Write down 8 Add 8 Stop
more
than 50?

NO
Write down
the answer

b What is the position-to-term rule for the sequence?
c Imagine the sequence continues forever.

What is the 50th term in the sequence?

4 Here is the start of a sequence of shapes using rectangles and triangles.
Each rectangle is numbered.

Shape Shape Shape
1
1
1
Shape Shape
2 2
Shape
3

The sequence continues in the same way.
a How many triangles are there in the shape with 50 rectangles?

How many rectangles and triangles are there altogether in that shape?

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