The inference shows that the correct options that will fill the information will be:
- I need to study harder to understand the lesson.
- I realize that my knowledge will improve in this lesson..
- I need to study more to be able to explore more in the activity.
<h3>What is an inference?</h3>
An inference means the conclusion that can be deduced from the information given in a literary work.
In this case, it's important that one checks the information and correctly put in the options.
The learner communicates the explanation of their personal assessment as indicated in the Learner’s Assessment Card. • The learner, in their notebook, will write their personal insights about the lesson using the prompts below. I understand that ___________________. I realize that ________________________. I need to learn more about __________.
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Let
where we assume |r| < 1. Multiplying on both sides by r gives
and subtracting this from 
gives
As n → ∞, the exponential term will converge to 0, and the partial sums will converge to
Now, we're given
We must have |r| < 1 since both sums converge, so
Solving for r by substitution, we have
Recalling the difference of squares identity, we have
We've already confirmed r ≠ 1, so we can simplify this to
It follows that
and so the sum we want is
which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
Answer:
2⋅2⋅2⋅5=40 2 ⋅ 2 ⋅ 2 ⋅ 5 = 40
