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Previous Year Question (PYQs)



Which is the next number in the sequence: $28,327,464,5125,- $?





Solution

Observe the pattern:

$28=2\ 8=2\ 2^3$

$327=3\ 27=3\ 3^3$

$464=4\ 64=4\ 4^3$

$5125=5\ 125=5\ 5^3$

So, the next term will be:

$6\ 6^3$

$6^3=216$

Therefore, the next term is:

$6216$



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