Question

Complete the series by finding the missing term from the given alternatives.

$8,1,64,27,?,125$

• A. $216$
• B. $196$
• C. $169$
• D. $81$

Answer 1

Answer: (A)

$216$

[8×(1)³], (1)³, [8×(2)³], [3]³, [8×(3)³], (5)³ The sequence is comprised of multples of 8 in the odd places and the other alternate numbers or the numbers in the even places are cube roots of odd numbers. Multiples of 8 are also in an interesting sequence. 8 is multiplied by the cube roots of all numbers. 8 is multiplied to 1 cube giving 8 as the first number of this sequence. 8 is multiplied to 2 to the power 3 giving 64. So the third number would be 8 multiplied by 3 to the power 3 giving 8×27=216 Hence option A is the correct answer.