Question

It’s About Time, in Langley, British
Columbia, is Canada’s largest custom clock
manufacturer. They have a grandfather
clock that, on the hours, chimes the
number of times that corresponds to the
time of day. For example, at 4:00 p.m., it
chimes 4 times. How many times does the
clock chime in a 24-h period?

Answer 1

Please use the concept of series and sequence here!

Answer 2

Any ideas?

Answer 3

Not at all. Can't figure out this sentence: They have a grandfather
clock that, on the hours, chimes the
number of times that corresponds to the
time of day.

Answer 4

At one o'clock it chimes 1 time
At two o'clock it chimes 2 times
At three o'clock it chimes 3 times
.
.
At twelve o'clock it chimes 12 times

Answer 5

So, in 24 hours, it'll be t24 = 1 + (24-1)1
= 1+23?
= 24
but the answer's 156.

Answer 6

$$\Huge 1 + 2 + 3 +...+11 + 12=12hours$$

Answer 7

Shouldn't the series go up to 24 hours?

Answer 8

That^ is the number of times in 12hours, right?

Answer 9

yeah

Answer 10

You need to multiply that sum 1+2+3+...+11+12 by 2 to get the number of times the clock chimes in 24 hours, right?

Answer 11

yeah

Answer 12

but how do you put it in an equation and what is the question really looking for? That's what I can't understand. Shouldn't the clock chime 24 times for 24 hours?

Answer 13

Why would " the clock chime 24 times for 24 hours?"

Answer 14

I have no idea. I still don't understand the question. This is all I can deduce from the question and it's wrong!

Answer 15

Ok, let us start at 12:01pm

Answer 16

0 chimes right?

Answer 17

yeah

Answer 18

at 1, it'll chime once?

Answer 19

yes, record 1 chime

Answer 20

at 2, it'll chime twice.

Answer 21

I understood that pattern.

Answer 22

yes, record 2 and now ADD 1 + 2 = 3chimes so far

Answer 23

for the first two terms.

Answer 24

yes, keep going...

Answer 25

4+5+6....

Answer 26

yes, add them all up

Answer 27

up to 6?

Answer 28

no, up to midnight

Answer 29

so, 12

Answer 30

add 1+2+3+4+5+6+7+8+9+10+11+12

Answer 31

it's 12

Answer 32

that will take you to midnight

Answer 33

and then?

Answer 34

does 1+2+3+4+5+6+7+8+9+10+11+12=12?

Answer 35

yes

Answer 36

how?

Answer 37

sorry it's 78.

Answer 38

thank you

Answer 39

now that is from 12:01pm to midnight which is a 12 hour period, the question asks for a 24 hour period, right?

Answer 40

instead of manually adding them up, will the Sn= n/2 [2t1 + (n-1) d] formula work?

Answer 41

Answer my question please :)

Answer 42

yes. i got 300

Answer 43

78 chimes times 2 =?= 300

Answer 44

yup!

Answer 45

no wait!

Answer 46

haha i added them up myself and i got 300. what's the difference between adding them and multiplying the numbers. Shouldn't we be getting the same answers? > 300?

Answer 47

nope