Observe the given figure

Which is the following is the correct representation of the triangular sum of the FOURTH square in the sequence?

$25 = 12 + 13$

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$36 = 10 + 16$

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$25 = 10 + 15$

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$36 = 15 + 21$

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Solution

The correct option is C
$25 = 10 + 15$

Observing the pattern we can have

$(2)^{2} = 4 = 1 + 3 = 1 + (1 + 2)$

$(3)^{2} = 9 = 3 + 6 = (1 + 2) + (1 + 2 + 3)$

$(4)^{2} = 4 = 6 + 10 = (1 + 2 + 3) + (1 + 2 + 3 + 4)$

Similarly proceeding further, we can have

$5^{2} = 25 = (1 + 2 + 3 + 4) + (1 + 2 + 3 + 4 + 5) = 10 + 15$

Hence, representation of FOURTH term in sequence will be

$25 = 10 + 15$

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Similar questions

Observe the given figure.

Which of the following is the correct representation of the triangular sum of the FOURTH square in the sequence?

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
Frequency	$10$	$15$	$12$	$20$	$9$

Class Interval	$5 - 10$	$10 - 15$	$15 - 25$	$25 - 45$	$45 - 75$
Frequency	$6$	$12$	$10$	$8$	$15$

25 - 45

Observe the following pattern.

The fourth pattern will represent the square of which number?

To draw a histogram to represent the following frequency distribution:

The adjusted frequency for the class 25 - 45 is:

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