AMC 8 L1: Calculation Tricks

Complete problem set with solutions and individual problem pages

Problem 10 Easy

What is the value of the product (1+\frac11)·(1+\frac12)·(1+\frac13)·(1+\frac14)·(1+\frac15)·(1+\frac16)? (2018 AMC 8 Problem, Question #2)

  • A.

    \frac76

  • B.

    \frac43

  • C.

    \frac72

  • D.

    7

  • E.

    8

Answer:D

(1+\frac11)·(1+\frac12)·(1+\frac13)·(1+\frac14)·(1+\frac15)·(1+\frac16)=\frac21\times \frac32 \times \frac 43 \times \frac54 \times \frac65\times \frac76=7