The sum of 10 terms of the series 12+16+24+40+..... is
4094
4296
4172
None of these
Explanation for correct option:
Let Sn=12+16+24+40+...upto10terms
Sn=8+4+(8+8)+(8+16)+(8+32)+.....upto10termsSn=8×10+4+8+16+.....upto10terms
4,8,16,...... is a geometric progression with the first term a=4 and common ratio r=2.
Sum of geometric progression=arn-1r-1
4+8+16+......=4(2)10-12-1
=41024-1=4×1023=4092
⇒80+4+8+16+......=80+4092=4172
Hence, option C is correct.
Sum of n terms of series 12 + 16 + 24 + 40 +......... will be