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⁞ Number Systems

Aptitude ➤ Number Systems ➤ 1
Question 1
Q1.  2 + 22 + 23 + ... + 212 = ?
 

Answer :  8190


Given series is a G.P. with a = 2, r = 4/2 = 2 and n = 12.

Sum = a(rn - 1)/ (r-1)
= 2 x (212 - 1)/(2-1)
= 2 x (4096-1)
= 2 x 4095
= 8190
⚔ DISCUSS

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