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Suppose that a sequence is defined as follows. a_(1)=10,quada_(n)=-3a_(n-1)" for "n >= 2

Suppose that a sequence is defined as follows.\newlinea1=10,an=−3an−1 for n≥2 a_{1}=10, \quad a_{n}=-3 a_{n-1} \text { for } n \geq 2

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Evaluate expression when a complex numbers and a variable term is givenright chevron icon

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Q. Suppose that a sequence is defined as follows.\newlinea1=10,an=−3an−1 for n≥2 a_{1}=10, \quad a_{n}=-3 a_{n-1} \text { for } n \geq 2
  1. Calculate Second Term: Calculate the second term using the recursive formula: a2=−3a1=−3(10)=−30a_{2} = -3a_{1} = -3(10) = -30.
  2. Calculate Third Term: Calculate the third term: a3=−3a2=−3(−30)=90a_{3} = -3a_{2} = -3(-30) = 90.
  3. Calculate Fourth Term: Calculate the fourth term: a4=−3a3=−3(90)=−270a_{4} = -3a_{3} = -3(90) = -270.

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