Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their environment. The formula is T=50+n-40/4, where T is a temperature in degrees Fahrenheit and N is a number of chirps per minute. If T=57°F, find the number of chirps per minute.

Number of chirps per minute = 68

Step-by-step explanation:

Given:

T = 50+ (N - 40)/4

where,

T is a temperature in degrees Fahrenheit

N is a number of chirps per minute

Find n when T = 57°F

T = 50 + (N - 40)/4

57 = 50 + (N - 40)/4

57 - 50 = (N - 40)/4

7 = (N - 40)/4

Multiply both sides by 4

7 × 4 = (N - 40)/4 × 4

28 = N - 40

28 + 40 = N

68 = N

N = 68

Number of chirps per minute = 68

, 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