Question

1.2.1 The number of pieces of ropes for FIVE cuts. 1.2.2 The general formula (Ta), for the number of rope pieces. 1.2.3 How many rupe cuttings will make up 153 rope pieces? 1.2.4 How many ropes pieces will result from 11 cuttings? 5 Please tu

Answer 1

Step 1

The number of pieces for 5 cuts is

`7+4=11`

Step 2

The general formula Tn, for the number of rope pieces is

`\begin{gathered} a=3 \\ d=2 \\ T_n=3+(n-1)2 \\ T_n=2n+1 \end{gathered}`

Step 3

How many rope cuttings will make up 153 rope pieces

`\begin{gathered} 153=2n+1 \\ 152=2n \\ (152)/(2)=(2n)/(2) \\ n=76\text{ rope cuttings} \end{gathered}`

Step 4

How many ropes pieces will result from 11 cuttings

`\begin{gathered} T_n=2(11)+1 \\ T_n=23\text{ rope pieces} \end{gathered}`