Consider the following sequences 1)an=−2,5,12,19,… 2)bn=3,6,12,24,48… Find the next two terms of the sequence Find a recurrence relation that generates the sequence Find an explicit formula for the nth term of the sequence

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1) Given sequence in an airthematic sequence First term, a1=−2 Common difference, d=5−(−2)=5+2=7 Next two terms are a5=a1(5−1)d=−2+(4)7=−2+28 a5=26 a6=a1(6−1)d=−2+(5)7=−2+35 a5=33 Recurrence formula a1=−2 an=an−1+7 Explicit formula a5=a1(n−1)d 2) Given sequence is a multiple of 2 First term a1=3 a6=2a5=2(48)=96 a7=2a6=2(96)=192 Recurrence formula a1=3 an=2an−1 Explicit formula an=3(2)n−1

Consider the following sequences 1){a_n}={-2,5,12,19,...2)b_n={3,6,12,24,48...} Find the next two terms of the

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