Each cake tin is 25cm in diameter . how many cake tins fit on a 600mm x 500mm tray

From the information given, the tins are circular /cylindrical  because they have a diameter.

So we need to find out the base area of each tin .

Base Area = π r²

radius here will be 25/2 = 12.5

Area = 3.14 × 12.5 ×12.5

Area = 490.6cm²

For the tray the dimensions are 600mm and 500mm which seem to allude the trays are of a regular shape such as a rectangle. Let us assume it is so.

600mm = 60cm,  and 500mm = 50cm

Area = L × w

Area = 50 × 60 = 3000cm²

Each tray will fit 3000 ÷ 490.6 = 6.1

 6 cake tins will fit into one tray

, 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