Question

The lottery prize is 2m on the 1st week, 5m on the 2nd week. 10m on the 3rd. 13m on

the 4th. 26m on the 5th and 29m on the 6th week.

a) How much is the prize in the 10th week?

b) How much more is the prize worth on the 14th week than the 11th week?​

Answer 1

a. $125 million

b. $259 million more

Explanation:

Looking at the first 3 terms, 5 is 3 more than 2, and 10 is double 5. Knowing that, the pattern is every even term is 3 more than the previous odd, and every odd term is double the previous even. As a result, week 7's prize is $58m (29 * 2), week 8's is $61m (58 + 3), week 9 is $122m (61 * 2), and week 10 (what part a is asking for) is $125m (122 + 3).

Now for part 2. Week 11's prize would be $250m (125 * 2). Week 12's prize would be $253m (250 + 3). Week 13's would be $506 (253 * 2). Week's 14 would be $509 (506 + 3). Now, subtract 250 from 509 to find the difference in prize money, which is $259 million.