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Mathematics 8 Online
OpenStudy (anonymous):

part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation. Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ____ minutes on Monday. Every day he ____his gym

OpenStudy (anonymous):

@ganeshie8 last question?

OpenStudy (anonymous):

@Hero

ganeshie8 (ganeshie8):

use the given example maybe

OpenStudy (anonymous):

what do you mean

ganeshie8 (ganeshie8):

Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________.

ganeshie8 (ganeshie8):

fill in the blanks with appropriate numbers

OpenStudy (anonymous):

ok so for the first blank I would put 20 second blank will be increased 10 minutes. Is that ok

ganeshie8 (ganeshie8):

for the second blank maybe make it some small number like 2 ?

OpenStudy (anonymous):

the second blank was increased and the third is 10 minutes sorry

ganeshie8 (ganeshie8):

Jasmine practices the piano for `20` minutes on Monday. Every day she `increases` her practice time by `10` minutes like this ?

OpenStudy (anonymous):

yes!

ganeshie8 (ganeshie8):

looks good!

OpenStudy (anonymous):

Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation. Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.

ganeshie8 (ganeshie8):

we're not done with part 1 yet

OpenStudy (anonymous):

it got cut off I was just putting it up. and were not?

ganeshie8 (ganeshie8):

you need to find how many minutes she will practice on 7th day, right ?

OpenStudy (anonymous):

oh ya I forgot

ganeshie8 (ganeshie8):

see if u can find out

ganeshie8 (ganeshie8):

give it a try

OpenStudy (anonymous):

ok one sec. Monday- 30 min Tuesday- 40 min Wednesday- 50 min Thursday- 60 min Friday- 70 min Saturday- 80min sunday- 90min

ganeshie8 (ganeshie8):

Perfect! so on 7th day she will be practicing 90 minutes

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

\[a_7 = 30 + 60\] \[a_7 = 30 + (7-1)10\]

OpenStudy (anonymous):

is that the function that is being used?

ganeshie8 (ganeshie8):

yes notice that you can get the number of extra minutes after "n" days by multiplying "(n-1)" by the increment "10"

OpenStudy (anonymous):

yes I do.

OpenStudy (anonymous):

ok now for part 2. is it asking the same thing?

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