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SEQUENCE

We can see in the case of the weight reduction that this old woman did, forming a sequence, more precisely the arithmetic sequence

What is a sequence?

A Sequence is a set of things (usually numbers) that are in order. Sequences usually have patterns that allow us to predict what the next term might be.

For example:

3, 6, 9, ...

The three dots that come at the end indicate that the sequence can be extended, even though we only see a few terms.

Finite and Infinite Sequences

There are two types of sequences: finite sequences and infinite sequences. It is possible to count the number of terms in a finite sequence. An infinite sequence is a sequence that is not finite.

Finite Sequence

A sequence having a finite number of terms is called a finite sequence. in other words, A sequence is finite if it has a limited number of terms and infinite if it does not.

For example, the first arithmetic sequence above with eight terms would be 2 5, 8, 11, 14, 17, 20, 23.

Infinite Sequence

A sequence having an infinite number of terms is called an infinite sequence. An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with a set of positive integers.

For example, a sequence of real numbers forms an infinite sequence: 1, 2, 3, 4, and so on.

The fact that a sequence is infinite is indicated by three dots following the last listed member.

Solution for a given question

From the problem, we can see the sequence will form a finite sequence because it has a maximum amount of body reduction which is 35 kg, let's see the sequence

1st week = 11 kilos

2nd week = 9 kilos

3rd week = 7 kilos

each week his weight reduction was reduced by 2 kg from the previous week, so the next week would be

4th week = 5 kilos

5th week = 3 kilos

If we add them, the total is 35kilos.

Therefore, she will spend 5 weeks to lose her weight by 35 kg.

Learn more here:

brainly.ph/question/308346

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