title: Advanced Division (Straight Forward Math Series)
author: Stan Collins
description: S. Harold Collins, involved from the early days of Garlic Press, is the author of numerous educational materials on English, math, sign language, and substitute teaching. He has been involved with creation, editing, production, and marketing of publications for greater than twenty years.
zlib_text: Progressions, Related Inequalities and Series 
   
  Choose the most appropriate option (a, b, c or d). 
  Q 1. 
   If a1, a2, a3,…… are in AP then ap, aq, ar are in AP if p, q, r are in  
   
  (a) AP  
   
  (b) GP  
   
  (c) HP  
   
  (d) none of these  
  Q 2. 
  Let tr denote the rth term of an AP. If tm = 1
  n and tn = 1
  m then tmn equals  
   
  (a) 1
  mn   
   
  (b) 1
  1
  m
  n
  
   
   
  (c) 1 
   
   
  (d) 0 
  Q 3. 
  If p, q, r, s  N and they are four consecutive terms of an AP then the pth, qth, rth, sth terms of 
  a GP are in 
   
  (a) AP  
   
  (b) GP  
   
  (c) HP  
   
  (d) none of these  
  Q 4. 
  If in a progression a1, a2, a3,…, etc., (ar – ar+1) bears a constant ratio with ar . ar+1 then the terms of 
  the progression are in  
   
  (a) AP  
   
  (b) GP  
   
  (c) HP  
   
  (d) none of these  
  Q 5. 
  If 
  2
  3
  2
  3
  2
  3
  1
  4
  1
  4
  1
  4
  a a
  a
  a
  a
  a
  3
  a a
  a
  a
  a
  a
  
  
  
  
  
  
  
  
  
  
  
  
  then a1, a2, a3, a4 are in  
   
  (a) AP  
   
  (b) GP  
   
  (c) HP  
   
  (d) none of these  
  Q 6. 
  Let x, y, z be three positive prime numbers. The progression in which 
  x, y, z can