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.…

Question

asked Oct 21, 2023 139k views

1 Answer

Radious · Answer 1 · 2023-10-26T19:18:27+0000

Step 1

The number of pieces for 5 cuts is

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

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