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## Answers

Then, t = 384 => a * r^(n-1) = 384

=> 3 * 2^(n-1) = 384 => 2^(n-1) = 128 = 2^(7)

=> n-1 = 7 => n = 8.

**Let n be the numbers in this G.P where a=3 & r=6/3 =2**

**Last term,tn = 384**

**⇒ a*r^(n-1) = 384**

**3*2^(n-1) = 384**

**2^(n-1) = 128 = 2^7**

**(n-1) = 7**

**Hence number of terms = 7+1=8**