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which formula can be used to find any term, n, of the sequence 1,-(2)/(3),(4)/(9) , __ 7 a_(n)=(-(2)/(3))^n-1 a_(n)=-(2)/(3)cdot 1^n-1

Question

Which formula can be used to find any term, n, of the sequence 1,-(2)/(3),(4)/(9) , __ 7 a_(n)=(-(2)/(3))^n-1 a_(n)=-(2)/(3)cdot 1^n-1 a_(n)=-(2)/(3)cdot (n-1) a_(n)=-((2)/(3))^n-1

Solution

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4.2 (310 Votos)
Pablo Elite · Tutor por 8 anos

Resposta

To find the formula for the the sequence , we need to identify the pattern in the sequence.Looking at the sequence, we can see that each term is obtained by multiplying the previous term by . Therefore, the formula for the nth term of the sequence is: This formula correctly generates the first three terms of the sequence:- For n=1, - For n=2, - For n=3, Therefore, the correct formula for finding any term, n, of the sequence is .