12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30 inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)

54061 in³

Step-by-step explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for