text: +0
  
  # arithmetic sequence
  
  0
  32
  1
  
  If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?​
  
  Aug 23, 2020
  
  #1
  0
  
  5/2 * [2*4 + 4D]=1/4* 5/2 *[8+5D + 9D], solve for D
  
  D = -12 common difference
  
  15th term =[4 + (-12*14)] = - 164
  
  4,  -8,  -20 , -32 , -44 , -56 , -68 , -80 , -92 , -104 , -116 , -128 , -140 , -152 , -164
  
  Aug 23, 2020
explanation: The document contains a math question about an arithmetic sequence, along with a detailed solution to find the 15th term of the sequence.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: +0
  
  # arithmetic sequence
  
  0
  32
  1
  
  If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?​
  
  Aug 23, 2020
  
  #1
  0
  
  5/2 * [2*4 + 4D]=1/4* 5/2 *[8+5D + 9D], solve for D
  
  D = -12 common difference
  
  15th term =[4 + (-12*14)] = - 164
  
  4,  -8,  -20 , -32 , -44 , -56 , -68 , -80 , -92 , -104 , -116 , -128 , -140 , -152 , -164
  
  Aug 23, 2020
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about an arithmetic sequence, along with a detailed solution to find the 15th term of the sequence.
  
  Label: question-and-answer