In a study of larval development in the tufted apple bud moth (platynota idaeusalis), an entomologist measured the head widths of 36 larvae. all 36 larvae had been reared under identical conditions and had moulted six times. in the sample, the mean head width was 1.20 mm and the standard deviation was 0.14 mm. construct and interpret a 90% confidence interval for the population mean.

, 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

14

step-by-step explanation:

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