Question

Complete the series d144,y289,i841,c529

Answer 1

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Complete the series d144,y289,i841,c529

1. k1056

2. e563

3. $125

4. w1024

Concept:

Two kinds of logical reasoning

Deductive reasoning evaluates whether a conclusion's truth can be shown for that rule only on the basis of the premises' veracity. Example: "Everything outside becomes wet when it rains. Since the grass is outside, it gets wet when it rains." This kind of logic is frequently compared to mathematical logic and philosophical logic.

Inductive reasoning makes an effort to prove the existence of the rule. After several examples are regarded to be a conclusion that follows from a precondition in terms of such a rule, it hypothesises a rule. For instance: "Grass always gets wet when it rains since it got wet several times when it rained." This kind of reasoning is frequently linked to extrapolating generalisations from empirical data. These arguments could be convincing, but they lack deductive validity—see the induction problem

Given:

d144,y289,i841,c529

Find:

Find the next term in the series

Solution:

d144,y289,i841,c529

The provided integer is a perfect square, according to the reasoning.

d144 → d(12)²

y289 → y(17)²

i841 → i(29)²

c529 - i(23)²

As a result, the following term will have the ideal square number.

Therefore, only option 4 fits the described pattern.

w1024 → w(32)²

Therefore the answer is option 4 w1024

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