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Mathematics 40 Online
OpenStudy (mathhelp346):

PLEASE PLEASE PLEASE HELP!!!! I'M BEGGING YOU! 1.The first differences of a sequence are a constant -7 and the third term is 22, find the first 5 terms of the sequence. 2.The third and fourth terms of a sequence are 101 and 83. If the first differences are constant, find the first 5 terms of the sequence. 3.For each sequence, determine which differences are constant and what the constant difference is. a. 1, 2, 3, 4, 5, ... b. 1^2, 2^2, 3^2, 4^2, 5^2, ... c. 1^3, 2^3, 3^3, 4^3, 5^3, ... d. Based on a, b, and c, determine how many differences you have to compute until you find a constant differ

OpenStudy (mathhelp346):

I only need help with the 3rd one, so PLEASE PLEASE PLEASE PLEASE HELP

OpenStudy (mathhelp346):

help please only need help on the third one!

OpenStudy (mathhelp346):

3.For each sequence, determine which differences are constant and what the constant difference is. a. 1, 2, 3, 4, 5, ... b. 1^2, 2^2, 3^2, 4^2, 5^2, ... c. 1^3, 2^3, 3^3, 4^3, 5^3, ... d. Based on a, b, and c, determine how many differences you have to compute until you find a constant difference for the sequence 1^4, 2^4, 3^4, 4^4, 5^4, ...

OpenStudy (anonymous):

1.The first differences of a sequence are a constant -7 and the third term is 22, find the first 5 terms of the sequence. ===> a3=a1+2d ==> 22=a1-14==> a1= 36 ==> a2=29, a3=22,a4=15,a5=8

OpenStudy (mathhelp346):

umm....

OpenStudy (mathhelp346):

that's a little too complicated for me...

OpenStudy (anonymous):

it's supposed to post each question in a separte thread not all the three questions in one thread.

OpenStudy (mathhelp346):

oh

OpenStudy (anonymous):

ok regarding #1

OpenStudy (anonymous):

try to translate the given verbal words into equation

OpenStudy (mathhelp346):

um ok

OpenStudy (anonymous):

it's said that the third term is 22

OpenStudy (mathhelp346):

yes

OpenStudy (anonymous):

this means a3= a1+2*d

OpenStudy (mathhelp346):

i already figured number 1 and 2 out, i just need help on number 3

OpenStudy (anonymous):

id theis clear to you

OpenStudy (anonymous):

ok we go on #3 then

OpenStudy (mathhelp346):

ok

OpenStudy (amistre64):

d= -7; A(3) =22 n: 1 2 3 4 5 A: 22 +7 +7 -7 -7

OpenStudy (mathhelp346):

yea i knowthat

OpenStudy (anonymous):

a. 1, 2, 3, 4, 5, ... ( differnce is constat which d=1)

OpenStudy (mathhelp346):

yes

OpenStudy (anonymous):

you do check the other in the same way

OpenStudy (anonymous):

just subtract every term from it's neighbour

OpenStudy (anonymous):

is that ok now?

OpenStudy (mathhelp346):

yea, but do you know how to do number 3?

OpenStudy (mathhelp346):

3.For each sequence, determine which differences are constant and what the constant difference is. a. 1, 2, 3, 4, 5, ... b. 1^2, 2^2, 3^2, 4^2, 5^2, ... c. 1^3, 2^3, 3^3, 4^3, 5^3, ... d. Based on a, b, and c, determine how many differences you have to compute until you find a constant difference for the sequence 1^4, 2^4, 3^4, 4^4, 5^4, ...

OpenStudy (anonymous):

can you post it here again

OpenStudy (mathhelp346):

yea

OpenStudy (anonymous):

you mean c. ?

OpenStudy (mathhelp346):

um...no #3

OpenStudy (mathhelp346):

the whole problem..

OpenStudy (anonymous):

I already did a. to you above

OpenStudy (mathhelp346):

ok

OpenStudy (anonymous):

a. 1, 2, 3, 4, 5, ... ( differnce is constat which d=1)

OpenStudy (mathhelp346):

yea

OpenStudy (mathhelp346):

b.?

OpenStudy (anonymous):

b. 1^2, 2^2, 3^2, 4^2, 5^2, ... , (1,4,8,16,32,...) here you see that the difference is not constant, right?

OpenStudy (mathhelp346):

yea

OpenStudy (anonymous):

I just computed the powers into integers

OpenStudy (mathhelp346):

wait where did you get 1,4,8,16,32,...

OpenStudy (anonymous):

that is just to make it easy to me and you to see the differnce becasuse the give is in the form of powers which could be difficult to find the differnce directly

OpenStudy (anonymous):

so 1,4,8,16,32,... are only those 1^1,2^2,3^2,4^2,...

OpenStudy (anonymous):

still confused?

OpenStudy (mathhelp346):

but wait, 3*3 is 9 u put 16?

OpenStudy (anonymous):

you are right it's 9 but I put 8, I'm sorry

OpenStudy (mathhelp346):

o

OpenStudy (mathhelp346):

ok c.?

OpenStudy (anonymous):

the site is always stuck

OpenStudy (anonymous):

ok now c

OpenStudy (anonymous):

c. 1^3, 2^3, 3^3, 4^3, 5^3, ... ( 1,8,27,64 ,---) it's clear that the diffrence is not constant

OpenStudy (anonymous):

right?

OpenStudy (mathhelp346):

yea

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

d. Based on a, b, and c, determine how many differences you have to compute until you find a constant differ

OpenStudy (mathhelp346):

but it says determine how many differences you have to compute until you find a constant difference for the sequence 1^4, 2^4, 3^4, 4^4, 5^4, ...

OpenStudy (mathhelp346):

..yea

OpenStudy (anonymous):

tha answer for d is that

OpenStudy (mathhelp346):

is what?

OpenStudy (anonymous):

usually we need to do three to four diffrences to check if we have a constant diffrence situation or not

OpenStudy (anonymous):

I mean we are not suppose to do many diffrences, mostly 3 diffrences are enogh to detemin

OpenStudy (mathhelp346):

wait i have to reload the page

OpenStudy (anonymous):

ok

OpenStudy (mathhelp346):

ok i'm back

OpenStudy (anonymous):

wb

OpenStudy (anonymous):

any more q?

OpenStudy (anonymous):

is that okay with you?

OpenStudy (mathhelp346):

yes

OpenStudy (mathhelp346):

thank you!

OpenStudy (anonymous):

you are welcome. any time.

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