miley23
Find an explicit rule for the nth term of the sequence.
9, 36, 144, 576, ...
an = 9 • 4n  1
an = 4 • 9n  1
an = 9 • 4n
an = 9 • 4n + 1



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AravindG
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first of all what do u see as relation between each consecutive term?

miley23
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i have no idea

Yahoo!
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Lol...It is a G.P

Yahoo!
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With Common Ratio 4

AravindG
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9*4=36
36*4=144

AravindG
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nw u understand ?

miley23
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okay

AravindG
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nth term= \(\large a r^{n1}\)
for a GP
Where a is first term
r is common ratio

AravindG
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nw tell me what will be the answer?

miley23
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2304

miley23
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an = 9 • 4n

AravindG
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try again ? ar^n1 !!

AravindG
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remember

AravindG
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@miley23 do u get it ?

miley23
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an = 4 • 9n  1

AravindG
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why so ?

AravindG
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look at the formula !!!

AravindG
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a comes first !

miley23
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an = 9 • 4n  1

AravindG
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finally :)
\[\checkmark \]

miley23
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thanks