if (1+x)(1+x^2 ).....(1+x^(128) )=Σ_(r=0) ^n x^r then find n


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Question Number 96318 by M±th+et+s last updated on 31/May/20

$i f$ $(1 + x) (1 + x^{2}) . . . . . (1 + x^{128}) = \underset{r = 0}{\sum^{n}} x^{r}$ $t h e n f i n d n$
Commented by mr W last updated on 31/May/20

$n = 1 + 2 + 3 + . . . + 128 = \frac{128 \times 129}{2} = 8256$
Commented by M±th+et+s last updated on 31/May/20

$t h a n k s s i r$
Commented by mr W last updated on 31/May/20

$b u t$ $(1 + x) (1 + x^{2}) . . . . . (1 + x^{128}) = \underset{r = 0}{\sum^{n}} a_{r} x^{r} \neq \underset{r = 0}{\sum^{n}} x^{r}$
Commented by M±th+et+s last updated on 31/May/20

$y e s s o r r y i t s (1 + x) (1 + x^{2}) (1 + x^{4}) . . . . (1 + x^{128})$
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