Question

B Custom Steel Products also makes staircase frames like those shown here.
1
2 steps
1 step
made from 4 rods made from 10 rods
3 steps
made from 18 rods
1. Copy and complete the table below to show the number of rods in
staircase frames with different numbers of steps.

Answer 1

Completing the table to show the number of rods in staircase frames with different numbers of steps based on their observed patterns is as follows:

CSP Staircase Frames

Number of Steps       1        2       3        4      5       6       7       8  

Number of Rods       4       10      18      28    40     54    70     88

What is a pattern?

In Mathematics, we can describe a pattern as a repeated arrangement of corresponding numbers based on a specific rule (unit addition).

Patterns are also described as sequences.

In this scenario, the pattern rule is established by close observation, which shows that the patterns are increasing uniformly (one unit addition) as the number of steps increases, starting from 4.

Data and Calculations

CSP Staircase Frames

Number of Steps       1        2        3       4       5       6       7       8  

Number of Rods       4       10      18       ■       ■      ■       ■       ■

Observed Pattern     4        5       6        7       8      9       10      11

Number of Rods = Number of Steps x Observed Pattern

Observed Pattern:

Step 1 = 4 (4/1)

Steps 2 = 5 (10/5)

Steps 3 - 6 (18/3)

The observed pattern of increase is 1 (5 - 4).

Calculation of Steps:

Steps 4 = 28 (4 x 7)

Steps 5 = 40 (5 x 8)

Steps 6 = 54 (6 x 9)

Steps 7 = 70 (7 x 10)

Steps 8 = 88 (8 x 11)

The calculated steps are the multiplication of the steps by the observed patterns.

Learn more about patterns in mathematics at https://brainly.com/question/854376

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Question Completion with Table:

CSP Staircase Frames

Number of Steps       1        2        3       4       5       6       7       8  

Number of Rods       4       10      18       ■       ■      ■       ■       ■