Write the expression for the nth term of the geometric sequence a_2=3,a_5=3/64,n=1

Kasey Reese

Kasey Reese

Answered question

2022-10-16

Write the expression for the nth term of the geometric sequence a 2 = 3 , a 5 = 3 64 , n = 1

Answer & Explanation

flasheadita237m

flasheadita237m

Beginner2022-10-17Added 17 answers

To find first term ‘a’ as n = 1
a 2 = a r 2 - 1 = a r = 3
a 5 = a r 5 - 1 = a r 4 = 3 64
a 5 a 2 = a r 4 a r = r 3 = 3 64 3 = 1 64
r 3 = ( 1 4 3 ) , r = 1 4
We know, a 2 = a r = 3
a = 3 r = 3 1 4 = 12
Hence, a n = a 1 = a = 12

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