A wire 27 cm long is cut into two pieces. The longer piece is 3 cm longer than the shorter piece
Find the length of the shorter piece of wire

The length of the shorter wire is 12 cm

Step-by-step explanation:

Let us assume that the 27 cm wire is cut into two pieces of length x cm and so the longer part would be x+3 cm.

Now we know that the total length of the wire is 27cm so

x+(x+3) = 27

2x+3 = 27

2x = 27-3

2x = 24

x = 12 cm

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for