Write a rule for the nth term of the geometric sequence and then find a_5 given a_3=−144,r=0.5

pin1ta4r3k7b

pin1ta4r3k7b

Answered question

2022-11-02

Write a rule for the nth term of the geometric sequence and then find a 5 given a 3 = - 144 , r = 0.5

Answer & Explanation

Cseszteq5j

Cseszteq5j

Beginner2022-11-03Added 17 answers

the nth term of a geometric sequence is
x a n = a r n - 1
where a is the first term and r the common ratio
a 3 = a r 2 = - 144
a = - 144 0.25 = - 576 first term
a n = - 576 ( 0.5 ) n - 1
a 5 = - 576 × ( 0.5 ) 4 = - 36

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