find the number on the place of ? 13,13,15,27,47,67,97,153,?
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Answer:
385
Step-by-step explanation:
Tn=2Tn−1,n>0,T0=4
now, Tn
=2Tn−1−1
=2(2Tn−2−1)−1
=22Tn−2−2−1
=22(2Tn−3−1)−2−1
=23Tn−3−(1+2+22)
=2n(T0)−(20+21+22+…+2n−1)
(20+21+22+…+2n−1)=2n−1,
=2n(T0)−(2n−1)
=2n(T0–1)+1
=3∗2n+1, where T0=4 is considered
T7=3∗27+1=385
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