A What number has 3 ten thousands the same number of thousan

A. What number has 3 ten thousands, the same number of thousands as ten thousands, the same number of hundreds as ten thousands, 1 more ten than ten thousands, and 2 more ones than ten thousands?

B. Bella\'s Bakery is getting more and more orders for blackberry pies. The bakers made 1 blackberry pie in February, 2 blackberry pies in March, 5 blackberry pies in April, and 10 blackberry pies in May. If this pattern continues, how many blackberry pies will the bakery make in June?

Answer choices: 18, 14, 13, 17

Solution

A)

digits of number are 3,3,3,3+1,3+2

digits of number are 3,3,3,4,5

number is 33345

B)

sequence is 1,2,5,10,...

sequence of differences of consecutive numbers 1,3,5,.... are in arithematic progression with common difference 2

so next terms in sequence of differences of consecutive numbers 7,9,11,.....

so original sequence is 1,2,5,10,10+7 ,10+7+9,10+7+9+11...

so original sequence is 1,2,5,10,17 ,25,37..

so 17 blackberry pies in june.