Question

Find nd the 10th term of the series attached.​

Answer 1

• 
  `C) \ -2(2/3)^8`

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The nth term is visible in the sum:

• 
  `t_n=3(-2/3)^(n-1)`

Apply n = 10 to find the 10th term:

• 
  `t_(10)=3(-2/3)^(10-1)`
• 
  `t_(10)=3(-2/3)^9`
• 
  `t_(10)=3(-2/3)^(8+1)`
• 
  `t_(10)=3(-2/3)^8*(-2/3)`
• 
  `t_(10)=-2(-2/3)^8`
• 
  `t_(10)=-2(2/3)^8,\ since\ the\ power\ is\ even\ number`

The matching choice is C.