What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?
1 answer:
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Answer:
The number of candies in the sixth jar is 42.
Step-by-step explanation:
Assume that there are <em>x</em> number of candies in each of the six jars.
⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:
⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:
⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:
⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:
⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:
Now, it is provided that at the end, 30 candies are in the fourth jar.
Compute the value of <em>x</em> as follows:
Compute the number of candies in the sixth jar as follows:
Thus, the number of candies in the sixth jar is 42.