What is the explicit formula and recursive formula for the sequence 18, 9, 9/2, 9/4, 9/8, ...

damm bro the struggle

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

it's undefined because anything multiplied by 0 is 0. that said, 7 days is 168 hours