Question

117649,16807,x,343,49,7
Find the value of x​

Answer 1

Given:

117649,16807,x,343,49,7

To find:

x =?

Step-by-step explanation:

• Given series of numbers is 117649,16807,x,343,49,7.
• From these values, we have to find the value of x.
• According to observations, we can see that these numbers are the decreasing powers of 7.
• 117649 is the 6th power of 7.        

        i.e. 7⁶ = 117647

• 16807 is the 5th power of 7.

        i.e. 7⁵ = 16807

• 343 is the 3rd power of 7.

        i.e. 7³ = 343

• 49 is the 2nd power of 7.

        i.e. 7² = 49

• 7 is the 1st power of 7.

        i.e. 7¹ = 7

• To complete this series, we missed the 4 th power of seven.

        i.e. 7 = 2401

• Hence the value of x is 2401.

        i.e. x = 2401