Question

Solve the series:
6,25,64,___,32,1

Answer 1

The series is goes like that
6, 5*5 , 4*4*4 , 3*3*3*3 , 2*2*2*2*2*
,1*1*1*1*1*1

So there may be 81 at that place

Answer 2

Answer:

Missing number in series is 81

Step-by-step explanation:

To solve this type of series we must follow some steps

• Check order of series (ascending or descending)
• find relation between numbers by basic arithmetic rules

Step 1

• order of series is in both ascending and descending
• we can see that 25 is square of 5 and 64 is cube of 4

so lets try to solve it with powers.

Step 2

Expand given series and fill the missing number

6 =6                                   ⇒ $6^{1}$

5×5 = 25                           ⇒ $5^{2}$

4×4×4 = 64                       ⇒ $4^{3}$

3×3×3×3 = 81                    ⇒ $3^{4}$

2×2×2×2×2 = 32               ⇒ $2^{5}$

1×1×1×1×1×1= 1                    ⇒ $1^{6}$

Conclusion

By observing above series we can find our answer, which is 81.