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That's what I got the strategy was different tho

listfor(n, 1,10,  (2 *n + 1) / ((n *(n + 1) *(n + 2))== (1 / 2,   5 / 24,   7 / 60,   3 / 40,   11 / 210,   13 / 336,   5 / 168,    17 / 720,   19 / 990,   7 / 440.........etc.==It converges slowly to 5 / 4 ==1.25

Do this:

Start with 180 and 1 =181

180/2 =90 and 2 = 92

180/3 =60 and 3 =63........and so on. Try every number from 4 and up.

there're more questions than answers regarding this question.

-5 ^-2   =   1/25     NOT   -5 * -2 = 10 as done in the example...

Base 5 ==(100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143)- From 25 to 48 in base 10

Base 7==(34, 35, 36, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 66)-  From 25 to 48 in base 10

Sum[25 to 48] =876

Average =876 / 24 =36.5

In quadrilateral ABCD, we have ∠A = ∠C = 90◦ , ∠BDA = 2∠BDC, AB = 6, and AD = 8. Find the length of BC.

(7!+6!) = (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760)>>Total = 48

Can you count them?

angles CAB, CBA, DCB, and ECD are congruent!

angle URV = 48 degrees

GOOD JOB, GM    !!!!!!

AB = cos(42º) * AD

1 -    7 + 7 + 1 = 15
2 -    7 + 6 + 2 = 15
3 -    7 + 5 + 3 = 15
4 -    7 + 4 + 4 = 15
5 -    6 + 6 + 3 = 15
6 -    6 + 5 + 4 = 15
7 -    5 + 5 + 5 = 15

A =  P   ( 1 +  r )^t

P  =  original amount

r  = interest rate expressed  as a decimal   (.03  in this case)

t  =time in years

A = computed amount after  t   years

See if you can do it now, GM

If you get stuck  (or want me to  check  your answers, let me know )

No diagram shown.....

See if  this helps .....

^a√ x       =   x ^1/a

Also 

 ( ^a√x ) ^b  =   x^b/a

See if you can do these  two....if you get stuck  (or you want me to check  your answers)...let me know

thank u

I think:    8 ways to pick a rep   x  6 ways to pick a dem = 48 ways to get the requirement of one rep and one dem

     then there are 12 to pick from for the other two memebers

        12 c 2 = 66 ways

66 x 48 = 3168 ways

It is against your (or your parent's) agreement with AoPS to even ask for outside help.

AoPS stands for    Art of problem Solving.

How do you expect to learn Mathematical problem solving skills if you go getting other people to solve your problems for you!

This is an arithmetic series   (AS)

First term  =  2(1)  +  5   = 7

Last term    = 2(100) + 5 =  205

Sum  of  an  AS   =   [ first term + last term ]  * number of terms   / 2   ....so we  have....

[  7  +  205 ]  (100 )  /  2   =

[ 212] * 50   =

10600 

Pythag theorem

(4x)^2  + (3x)^2 = 27^2

25 x^2 = 729

x = 5.4

5.4 * 4     by    5.4 x 3

21.6 inches      by   16.2 inches

??? I said it was ok that you dont want to solve it. (FYI you dont even need to solve it you could just help me) I never said its fine that im asking for help, (Even though i dont see the huge deal in it) I said its ok that you dont want to solve it.

Either way, thanks for you help.

The common ratio  is    5/a

The sum is

     4                     4a

_______  =       _____  

1  -  5/a              a -  5

Note  that when a   = 9

4(9)             36

____ =    _______  =     9   = perfect square

9 - 5             4