How do you write the expression for the nth term of the geometric sequence #a_1=4, r=1/2, n=10#?

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How do you write the expression for the nth term of the geometric sequence #a_1=4, r=1/2, n=10#?

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Answer 1 · 2017-07-05T15:41:54

See the explanation below.

Explanation:

The equation for a geometric sequence is #a_n = a_1 (r)^(n-1)#, where #a_n# is the #n^(th)# term, #a_1# is the first term, and #r# is the common ratio.

We can substitute the given values into the equation.

#a_10 = 4(1/2)^(10-1)#

#a_10 = 4(1/2)^(9)#

#a_10 = 4(1/512)#

#a_10 = 1/128#

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How do you write the expression for the nth term of the geometric sequence #a_1=4, r=1/2, n=10#?

1 Answer

Explanation:

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