A man can do 1/2 part of a work in 1 hour 50 minutes. How many hours and minutes does he take to complete the whole work?​

3 hours and 40 minutes.

Step-by-step explanation:

To make it easier, we can first convert 1 hour 50 minutes to all minutes. 1 hour is 60 minutes, so it would be 110 minutes.

The problem tells us that 1/2 of the work takes 110 minutes, and we need to find the amount of time it takes to complete the entire work.

1/2 is well, half of a whole. That means it is 50% done, and 50% takes 110 minutes to complete. The other 50% then, would ALSO take 110 minutes, as it is the same. Therefore, since there are two sets of 110 minutes, it would be 110*2, giving us 220 minutes, or 3 hours and 40 minutes.

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step-by-step explanation:

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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