$1^{2}$ , $5^{2}$ , $7^{2}$ , $73$ ........Is it an AP? If yes, then what is it's common difference?

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Yes,

d = 15

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Yes,

d = 24

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Yes,

d = 25

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Solution

The correct option is A Yes, $d = 24$
We have, $5^{2} - 1^{2} = 25 - 1 = 24$
$7^{2} - 5^{2} = 49 - 25 = 24$
$73 - 7^{2} = 73 - 49 = 24$
This shows that the difference of a term and the preceding term is always same. Hence, the given sequence forms an AP.

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12, 52, 72, 73........Is it an AP? If yes, then what is it's common difference?

The correct option is A Yes, d=24We have, 52−12=25−1=24 72−52=49−25=24 73−72=73−49=24 This shows that the difference of a term and the preceding term is always same. Hence, the given sequence forms an AP.

$1^{2}$ , $5^{2}$ , $7^{2}$ , $73$ ........Is it an AP? If yes, then what is it's common difference?

The correct option is A Yes, $d = 24$
We have, $5^{2} - 1^{2} = 25 - 1 = 24$
$7^{2} - 5^{2} = 49 - 25 = 24$
$73 - 7^{2} = 73 - 49 = 24$
This shows that the difference of a term and the preceding term is always same. Hence, the given sequence forms an AP.