# MEI AS Further Maths Help (Sequences and Series)

Watch
Announcements
Thread starter 2 years ago
#1
A sawmill receives an order requesting many logs of various specific lengths that must come from the same particular tree. The log lengths must start at 5cm long and increase by 2 each time, up to a length of 53cm. The saw blade destroys 1cm (in length) of wood (turning it into sawdust) at every cut. What is the minimum height of the tree required to fulfill this order?

So far, I have produced the following expression.

I'm not sure how I would proceed. The answer at the back of the book is 749cm. I think the part I am stuck on is forming an expression for the second part of the problem, "The saw blade destroys 1cm (in length) of wood at every cut."

Any help would be appreciation, thank you!
0
reply
2 years ago
#2
(Original post by Sid2001)
A sawmill receives an order requesting many logs of various specific lengths that must come from the same particular tree. The log lengths must start at 5cm long and increase by 2 each time, up to a length of 53cm. The saw blade destroys 1cm (in length) of wood (turning it into sawdust) at every cut. What is the minimum height of the tree required to fulfill this order?

So far, I have produced the following expression.

I'm not sure how I would proceed. The answer at the back of the book is 749cm. I think the part I am stuck on is forming an expression for the second part of the problem, "The saw blade destroys 1cm (in length) of wood at every cut."

Any help would be appreciation, thank you!
Don't think your first sum (on the left hand side) is right. It would go
7+8+9+10+ ... +55
rather than
5 + 1 + 7 + 1 + 9 + .... + 1 + 53
Work out many cuts are made (fence posts/panels), and put it into a sum and evalaute or use the idea of triangular numbers for evaluating the sum.
Last edited by mqb2766; 2 years ago
0
reply
X

Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Do you think receiving Teacher Assessed Grades will impact your future?

I'm worried it will negatively impact me getting into university/college (225)
43.27%
I'm worried that I'm not academically prepared for the next stage in my educational journey (58)
11.15%
I'm worried it will impact my future career (40)
7.69%
I'm worried that my grades will be seen as 'lesser' because I didn't take exams (110)
21.15%
I don't think that receiving these grades will impact my future (59)
11.35%
I think that receiving these grades will affect me in another way (let us know in the discussion!) (28)
5.38%

View All
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.