If 210 + 29.31 + 28 .32 +.....+ 2.39 + 310 = S - 211, then S is equal to :

Question

If 210 + 29.31 + 28
.32 +.....+ 2.39 + 310 = S - 211, then S is equal to :

Accepted Answer

Let S1 = 210 + 29.31 + 28
.32 +.....+ 2.39 + 310  ....(1)

Also $${{3{S_1}} \over 2}$$ = 29.31 + 28
.32 +.....+ 2.39 + 310 + $${{{3^{11}}} \over 2}$$ ......(2)

Performing (1) - (2), we get

$$ - {{{S_1}} \over 2} = {2^{10}} - {{{3^{11}}} \over 2}$$

$$ \Rightarrow $$ S1 = 311 - 211

According to question,

311 - 211 = S - 211

$$ \Rightarrow $$ S = 311

Solutions · 1