for each sequence given below ffind a closed formula for a^N, the nth term of the sequence ( assume the first terms here are always a^0 ) by relating it to another sequence for which you already kno the formula.  a. -1,0,7,26,63,124, .... a^n = __________ b. 0,10,30,60,100,150,.... a^n = ____________ c. 0,1,3,7,15,31,.... a^n = _____________ d. 2,5,9,15,25,43 a^n = ____________

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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for each sequence given below ffind a closed formula for a^N, the nth term of the sequence ( assume the first terms here are always a^0 ) by relating it to another sequence for which you already kno the formula. 

a. -1,0,7,26,63,124, ....

a^n = __________

b. 0,10,30,60,100,150,....

a^n = ____________

c. 0,1,3,7,15,31,....

a^n = _____________

d. 2,5,9,15,25,43

a^n = ____________

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