Xpower4 minus 16 bracket b minus c whole power 4
1 answer:
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Let 
be the n'th term of a sequence,
for example
is the first term, 
is the second term and so on.
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a sequence is arithmetic if the difference between any 2 terms is equal:
so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:
so clearly
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A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.
a geometric ratio with first term = t, and common ratio = r is:
thus clearly
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Part 1:
"<span>Jasmine practices the piano for __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"
let
be the number of hours Jasmine practices the n'th day,
for n=7, t=30, d=5 we have
,
minutes is the time Jasmine practices on the 7the day.
Part 2
"<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"
if
represents the minutes that Anthony goes to gym on the n'th day,
then
(minutes)
Part 3: it is clear that the formula that can be derived in Part 2 is:
so assume we want to find how many hours does Anthony spend in the gym on the 10th day,
then we calculate
(minutes)
for example
----------------------------------------------------------------------------------------------------
a sequence is arithmetic if the difference between any 2 terms is equal:
so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:
so clearly
---------------------------------------------------------------------------------------------------
A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.
a geometric ratio with first term = t, and common ratio = r is:
thus clearly
--------------------------------------------------------------------------------------------------
Part 1:
"<span>Jasmine practices the piano for __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"
let
for n=7, t=30, d=5 we have
minutes is the time Jasmine practices on the 7the day.
Part 2
"<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"
if
then
(minutes)
Part 3: it is clear that the formula that can be derived in Part 2 is:
so assume we want to find how many hours does Anthony spend in the gym on the 10th day,
then we calculate