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Can anyone clutch I need help with this math problem thanks :) (look at the photo)

Can anyone clutch I need help with this math problem thanks :) (look at the photo-example-1

1 Answer

4 votes

Answer:

2304

Explanation:

a1 = 9

a2 = 4*a1 = 4*9 = 36

a3 = 4*a2 = 4*4*a1 = 4*4*9 = 144

a4 = 4*a3 = ... = 4*4*4*9 = 576

a5 = 4*a4 = ... = 4*4*4*4*9 = 2304

in other words

an = a1*4^(n-1)

you have to run through the calculation (in our case a simple multiplication by 4) n-1 times with the starting value of a1.

so, a5 = 9 * 4^4

for example a20 would then be

a20 = 9 * 4^19

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