Question

55, 56, 64, 91, 155, ?​

Answer 1

Answer:

280

Step-by-step explanation:

Simple.

First term is 55

Second term is 56.. Here 1 is added to 55 to get 56. 1 can also be written as 1^3.

Next, 8 is added to 56 to get 64. 8 can also be written as 2^3.

Next, 27 is added to 64 to get 91. 27 can also be written as 3^3.

Next, 64 is added to 91 to get 155. 64 can also be written as 4^3.

Now we have to add 5^3 (which is also equal to 125) to 155. We get 280.

So the required term is 280...

Answer 2

Given sequence,

$55,56,64,91,155,---$

Lets elaborate the sequence

first number = $55$

second number  $55+1^3 =56$

third number  $55+2^3 =64$

fourth number  $64+3^3 = 91$

fifth number  $91+4^3 =155$

sixth number  $155+5^3 = 280$

∴The missing number in the sequence is $280$

and the complete sequence is $55,56,64,91,155,280$

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