Given 3, 6, 12, 24,..., which term number is 384?

Amira Serrano

Amira Serrano

Answered question

2022-10-23

Given 3, 6, 12, 24,..., which term number is 384?

Answer & Explanation

blackcat1314xb

blackcat1314xb

Beginner2022-10-24Added 19 answers

Consider the standard geometric sequence :
a , ar , a r 2 , a r 3 , a r 4 , ... ... ... ... ... ... ... . , a r n - 1
the nth term = a r n - 1
here a = 3 (1st term ), r = 6 3 = 12 6 = ... . . = a n a n - 1 = 2
want to find n where nth term = 384
solve : a r n - 1 = 384 3 ( 2 ) n - 1 = 384
hence 2 n - 1 = 384 3 = 128
now 2 n - 1 = 2 7 n - 1 = 7 n = 8

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