Mikela claims that the sum of any two numbers is greater than the larger of the two numbers. Jim claims that the sum of any two natural numbers is greater than the larger of the two numbers. Determine whose claim is correct, and explain why.
Determine whose claim is incorrect, and give a counterexample. (A counterexample is an example that would disprove the claim.)

, 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

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step-by-step explanation:

step-by-step explanation:

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is there a graph

step-by-step explanation: