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How do you find the indicated term of the geometric sequence where #a_1=4096#, r=1/4, n=8?

1 Answer

Feb 21, 2017

#a_8=1/4.#

Explanation:

The General #n^(th)# Term #a_n# of a Geom. Seq. is given by,

#a_n=a_1r^(n-1), n in NN.#

In our Example, #a_1=4096, r=1/4, n=8.#

#:. a_8=(4096)(1/4)^(8-1)=4096/4^7=4^6/4^7.#

#:. a_8=1/4.#

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