Question

pls read further... to see question

Answer 1

as we know the ? mark side is always\[ x \sqrt{2}\]

so the sides move by multiplying by\[r=\sqrt{2}\]
\[1,1\sqrt{2},2,2\sqrt{2},4,4\sqrt{2}\]
so area is this sides squared divided by 2
\[\frac{1}{2}+1+2+4+8+16\]

Answer 2

so add all these up & divide by 2?

Answer 3

15.75?

Answer 4

dont divide just add

Answer 5

oh so add the 1/2 +1 +2 +4...... ?

Answer 6

is that what u said?

Answer 7

yes ! you want to add the area of each triangle to get area of entire colorful figure

Answer 8

so .....

Answer 9

so add... :)

Answer 10

just the.... the 1/2 +1 +2 +4...... ?

Answer 11

1/2 + 1 + 2 + 4 + 8 + 16

Answer 12

yea

Answer 13

7 colorful triangles, u need to add each area

Answer 14

1/2 + 1 + 2 + 4 + 8 + 16
^ ^

Answer 15

start wid adding those two first

Answer 16

20

Answer 17

hello?

Answer 18

i added 4 & 16 like u said

Answer 19

lol you want me walk u thru addition ha ?

Answer 20

add it dude

Answer 21

no im asking u what u do after adding all these numbers

Answer 22

cuz i got 63/4

Answer 23

thats it ! watever u get after addition is the 'area of entire colorful region'

Answer 24

how u managed to get 4 in the bottom

Answer 25

63/4= 31.5

Answer 26

looks wrong, check ur addition again

Answer 27

what??? all i did was add 1/2 + 1+2+4+8+16

Answer 28

1/2 + 1 + 2 + 4 + 8 + 16
^ ^

1/2 + 1 + 2 + 8 + 20
^ ^

1/2 + 1 + 10 + 20

1/2 + 1 + 30

Answer 29

oops 63/2 i mean :)

Answer 30

lol okie looks correct !!

Answer 31

ok & what abt this?

Answer 32

find the 'r'

Answer 33

bu the top is infinity right?

Answer 34

\(\large \sum \limits_{i=1}^{\infty} \frac{3^{i+1}}{(-5)^{i+2}}\)

Answer 35

\(\large \sum \limits_{i=1}^{\infty} \frac{3 \times 3^{i}}{25 \times (-5)^{i}}\)

Answer 36

\(\large \sum \limits_{i=1}^{\infty} \frac{3}{25} \frac{ 3^{i}}{ (-5)^{i}}\)

Answer 37

\(\large \sum \limits_{i=1}^{\infty} \frac{3}{25} (\frac{ -3}{ 5})^i\)

Answer 38

|r| = |-3/5| < 1
so the series converges

Answer 39

yes, I got it 1/2 way there :)

Answer 40

ha

Answer 41

k & this:

Answer 42

since you're looking for series, you look for + sign

Answer 43

in what options, + sign is there

Answer 44

in wat options they're adding things ?

Answer 45

A, D, E

Answer 46

oh cuz in a series u have to add??

Answer 47

yes !

Answer 48

oh cuz I was gonna say B is still geometric

Answer 49

and since they're not infinite, so tick all A D and E

Answer 50

ok so I'll say A, D , & E then :)

Answer 51

yeah, actuall all are geometric.
oly A, D, & E are series. rest all are sequences

Answer 52

ok :) also when they say find the sum of the series, u just have to add em all up right??

Answer 53

yes,

Answer 54

if you're lazy like me, you wud google quickly and find the formula for adding them

Answer 55

adding 2 + 4 + 8 + ..... 1024 is such a pain uhh

Answer 56

no... I know how to add.... plus I don't wanna be lay :) u gotta work hard to gain something

Answer 57

*lazy

Answer 58

being lazy helps u become effecient in doing things

Answer 59

:P ur funny

Answer 60

lol no you're funny

Answer 61

shut up :)

Answer 62

okie doke

Answer 63

so if u have to find the sum of:
1+2+4+.....+64 u would add all the numbers until 64 correct?

Answer 64

yes !

Answer 65

so it says:
what is the number of terms in this geometric series?
1+2+4+.....+64

Answer 66

so 64 right?

Answer 67

64 is the last term

Answer 68

so 65

Answer 69

fill the numbers in between first
then simply count

Answer 70

k

Answer 71

1+2+4+8+16+32+64

Answer 72

how many terms ?

Answer 73

umm yeah there is 64

Answer 74

including 1 and 64

Answer 75

count them :s

Answer 76

1+2+4+8+16+32+64

these are just 7 terms

Answer 77

no but its 1+2+4+.....+64

Answer 78

ohh nvm its doubling ea time!

Answer 79

yes its 1+2+4+....
its not 1+2+3+...

Answer 80

yeah ! you got it :)

Answer 81

what is the sum of the sries?

Answer 82

*series

Answer 83

add em all up

Answer 84

this is the problem