Write the first 5 terms of the recursively defined sequence? (i) a1=3, ak+1=2(ak-1)?

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Answer 1 · 2018-06-15T13:44:16

${3,4,6,10,18}$

we are given

$(i) " "a_1=3$

$(ii) " "a_(k+1)=2(a_k-1)$

and we require the first five terms

$a_1=3$

$a_2=2(a_1-1)=2xx(3-1)=4$

$a_3=2(a_2-1)=2xx(4-1)=6$

$a_4=2(a_3-1)=2xx(6-1)=10$

$a_5=2(a_4-1)=2xx(10-1)=18$

${3,4,6,10,18}$