46 Find the first five terms of the sequence an 3 anl 1 wh

46. Find the first five terms of the sequence an = 3 (an-l +1) , wherea-1. (a) g =1, a, =6, a3-21, c4 = 66, a,-201 (b) al = 3 , a-= 9 , a,-27 , a4 = 69 , as = 226 c) a (d) a|-| , a-=7 , a,-22 , a4 = 67 , a,-202 (e) none of these

Solution

46)

a₁=1

a₂=3(a₁+1)=3(1+1)=3*2=6

a₃=3(a₂+1)=3(6+1)=3*7=21

a₄=3(a₃+1)=3(21+1)=3*22=66

a₅=3(a₄+1)=3(66+1)=3*67=201

option (a)

a₁=1,a₂=6,a₃=21,a₄=66,a₅=201

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