Tyler’s math class found that it would take 2.5 x 10⁸ dollar bills to cover a square mile area. The surface area of the United States is about 3.8 x 10⁶ square miles. About how many dollar bills are needed to cover the United States? A. 6.3 x 10¹⁴
B. 9.5 x 10¹⁴
C. 6.3 x 10⁴⁸
D. 9.5 x 10⁴⁸

characterization

Step-by-step explanation:

, 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

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~