S1= 1+3+32+33+34+.......+3100
S1.3=3+32+33+34+.......+3100+3101
S1.3-S1=3+32+33+34+.......+3100+3101-(1+3+32+33+34+.......+3100)
S1.2=3101-1
S1=\(\frac{3^{101}-1}{2}\)
S1 = 1 + 3 + 32 + ... + 3100
3S1 = 3 + 32 + ... + 3101
3S1 - S1 = 3101 - 1
2S1 = 3101 - 1
S1 = \(\frac{3^{101}-1}{2}\)