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1963 AMC 12 Question 16

AMC12 · 1963 AMC 12

Question 16

Three numbers $a,$ $b,$ $c,$ none zero, form an arithmetic progression. Increasing $a$ by $1$ or increasing $c$ by $2$ results in a geometric progression. Then $b$ equals:
  1. $16$
  2. $14$
  3. $12$
  4. $10$
  5. $8$