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Mathematics 18 Online
OpenStudy (anonymous):

....

OpenStudy (davidusa):

idk sry

ganeshie8 (ganeshie8):

2,6,18,54...

ganeshie8 (ganeshie8):

do u see any pattern in the sequence ?

ganeshie8 (ganeshie8):

the first question is asking u to find "common ratio" : just take ratio of two adjacent terms : 6/2 = ? 18/6 = ? 54/18 = ?

ganeshie8 (ganeshie8):

Yes !

ganeshie8 (ganeshie8):

each number is getting multiplied by 3, eh ?

ganeshie8 (ganeshie8):

2.Complete each statement. a) A(1) = 2=2*3^? b) A(2)=6=2*3=2*3^? c) A(3)=18=2*3*3*3=2*3^? d)A(4)=54=2*3*3*3=2*3^?

ganeshie8 (ganeshie8):

can u complete this table now ?

ganeshie8 (ganeshie8):

the given sequence : 2,6,18,54...

ganeshie8 (ganeshie8):

whats the first term ?

ganeshie8 (ganeshie8):

2 is the first term right ?

ganeshie8 (ganeshie8):

so, can we write, 2 as below : a) A(1) = 2=2*3^0 ?

ganeshie8 (ganeshie8):

the second term is 6, it can be writtes as : b) A(2)=6=2*3=2*3^1

ganeshie8 (ganeshie8):

similarly, the third term is 18, can be written as : c) A(3)=18=2*3*3*3=2*3^2

ganeshie8 (ganeshie8):

getting ?

ganeshie8 (ganeshie8):

see if u can complete the below table now : 2.Complete each statement. a) A(1) = 2=2*3^? b) A(2)=6=2*3=2*3^? c) A(3)=18=2*3*3*3=2*3^? d)A(4)=54=2*3*3*3=2*3^?

ganeshie8 (ganeshie8):

Excellent !

ganeshie8 (ganeshie8):

3.What is the relationship between the exponent of the base 3 and value of n?

ganeshie8 (ganeshie8):

just put something like below : as the value of "n" increases, the base gets multiplied by itself that particular number of times...

ganeshie8 (ganeshie8):

4.Complete the statement: A(n)=2*3^?

ganeshie8 (ganeshie8):

wat do u think ?

ganeshie8 (ganeshie8):

noo

ganeshie8 (ganeshie8):

that just gives u 5th term, but, A(\(n\)) means, you want the \(n\)th ter

ganeshie8 (ganeshie8):

it shoudl be : 4. A(n)=2*3^(n-1)

ganeshie8 (ganeshie8):

np.. u wlc :)

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