A researcher recruits a sample of 25 preschool children for a research study by posting an announcement in a local daycare center describing the study and offering a $10 payment for participation. What kind of sampling is the researcher using?

The kind of sampling the researcher is using is Convenience sampling method.

Step-by-step explanation:

Convenience sampling is a kind of non probability sampling. A non probability sampling is a type of sampling where the probability of selecting a sample is  not defined.

In case of convenience sampling the researcher targets the population nearest to him/her or the quite accessible population. For example, sampling done at a shopping mall or a college campus.

There are no other conditions applied while conducting a convenience sampling. The only criteria is that the participants are willing to participate. For this too the researcher can offer to pay certain amount to the participants so that they participate in the research.

In the provided problem the researcher samples preschool students at a local daycare center. He also pays $10 for each participation.

This is an example of Convenience sampling method.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

, 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