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Mathematics 6 Online
OpenStudy (snowcrystal):

HElp I will fan and medal!!!!!!!!!!!

OpenStudy (anonymous):

what do u need help with?

OpenStudy (snowcrystal):

Wat is S7 for 6-24+96-384+...?

OpenStudy (anonymous):

ok.... so...

OpenStudy (snowcrystal):

My choices are: 19,662 -78,642 -4,914 1,230

rishavraj (rishavraj):

common ration is -4 .....did u get tht???

rishavraj (rishavraj):

*ratio.... its a Geometric Series

OpenStudy (snowcrystal):

ya I did

OpenStudy (snowcrystal):

I ended up with -25644

rishavraj (rishavraj):

S7 means the sum of first seven terms

rishavraj (rishavraj):

?????

OpenStudy (snowcrystal):

I dont understand how to do this I found the seventh term but I dont know the answer still

rishavraj (rishavraj):

hold on first think in geometric series \[a_n = a \times r^{n-1}\] so \[a_7 = 6 \times (-4)^6 = 24576\]

OpenStudy (snowcrystal):

...okay

rishavraj (rishavraj):

lol now jst forget it ..... sum of n terms in Geometric Series is \[S_n = a \times \frac{ 1 - r^n }{ 1 - r }\]

OpenStudy (snowcrystal):

uhhh okay

rishavraj (rishavraj):

so \[S_7 = 6 \times \frac{ (1 - (-4)^7) }{ 1 - (-4) }\]

rishavraj (rishavraj):

now u can solve it ??? @SnowCrystal

OpenStudy (snowcrystal):

\[6 \times \frac{ 5^7 }{ 5 }\]

OpenStudy (snowcrystal):

what do I do next?

rishavraj (rishavraj):

wht why 5^7???? its 1 - (-4)^7

OpenStudy (snowcrystal):

1-(-4)^7 =5^7

rishavraj (rishavraj):

\[S_7 = 6 \times \frac{ 1 - (-16384) }{ 5 }\]

rishavraj (rishavraj):

@SnowCrystal howz tht possible.??? (no offense)

OpenStudy (snowcrystal):

subtracting a negative makes the problem addition (none taken)

OpenStudy (anonymous):

-24/6 = 96/-24 = -384/96 = see a pattern?

rishavraj (rishavraj):

solve the equation i mentioned above :))

OpenStudy (snowcrystal):

how you have it set up it would be \[6 \times \frac{ 16385 }{ 5 }\]

OpenStudy (snowcrystal):

and yes @silveralchemist09 it is -4

OpenStudy (fortytherapper):

It's 1-(-4)^7 because you do the exponent first pEmdas Then subtract 1 from that: pemdaS

OpenStudy (anonymous):

∑n=176(−4)n−1=19662

OpenStudy (anonymous):

6+6(−4)+6(−4)2+6(−4)3+6(−4)4+6(−4)5+6(−4)6=?

OpenStudy (snowcrystal):

where did you get 176 from

OpenStudy (snowcrystal):

@silveralchemist09 ??

rishavraj (rishavraj):

WHTT???

OpenStudy (snowcrystal):

i dont understand where @silveralchemist09 got 176 from

rishavraj (rishavraj):

just forget it .... solve the equation i mentioed :) @SnowCrystal

rishavraj (rishavraj):

so can u solve tht equation??

OpenStudy (snowcrystal):

I did I got A for my answer

rishavraj (rishavraj):

yup :)) good work :))

OpenStudy (snowcrystal):

^_^ thanks

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