anonymous
  • anonymous
Find an equation for the nth term of the arithmetic sequence. a19 = -92, a20 = 6 an = -1856 + 98(n - 1) an = -1856 - 98(n - 1) an = -1856 - 98(n + 1) an = -1856 + 98(n + 1) @dan815 @jim_thompson5910 @mathstudent55 @compassionate @zzr0ck3r
Mathematics
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
First isolate d \[\Large a_{19} + d = a_{20}\] \[\Large -92 + d = 6\] \[\Large d= ???\]
anonymous
  • anonymous
-86 @jim_thompson5910
anonymous
  • anonymous
then what do we do? @jim_thompson5910

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More answers

jim_thompson5910
  • jim_thompson5910
you add 92 to both sides
jim_thompson5910
  • jim_thompson5910
6+92 = ??
anonymous
  • anonymous
98 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
so d = 98
jim_thompson5910
  • jim_thompson5910
which is why the answer is |dw:1436316159029:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436316211464:dw|
jim_thompson5910
  • jim_thompson5910
first term is \[\Large a_1 = -1856\] |dw:1436316259108:dw|
jim_thompson5910
  • jim_thompson5910
common difference is d = 98 we add 98 to each term to get the next term |dw:1436316282925:dw|
anonymous
  • anonymous
so a is the final answer? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yeah
jim_thompson5910
  • jim_thompson5910
|dw:1436316316037:dw|
anonymous
  • anonymous
can u help me with another one? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
sure
anonymous
  • anonymous
Find an equation for the nth term of the arithmetic sequence. -17, -13, -9, -5, ... an = -17 + 4(n + 2) an = -17 x 4(n - 1) an = -17 + 4(n - 1) an = -17 + 4(n + 1)
jim_thompson5910
  • jim_thompson5910
what's the first term?
anonymous
  • anonymous
i dont know @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
just look at the first number given in the sequence
anonymous
  • anonymous
-17 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yeah
jim_thompson5910
  • jim_thompson5910
what must we add to -17 to get to the next term -13 ?
anonymous
  • anonymous
4 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
so d = 4
jim_thompson5910
  • jim_thompson5910
First term \[\Large a_1 = -17\] Common difference \[\Large d = 4\]
jim_thompson5910
  • jim_thompson5910
|dw:1436316606279:dw|
anonymous
  • anonymous
so the answer would be c? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
|dw:1436316636005:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436316659391:dw|
jim_thompson5910
  • jim_thompson5910
yes, c
anonymous
  • anonymous
Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively. an = 1 • (-2)n - 1 an = 1 • 2n an = 1 • (-2)n + 1 an = 1 • 2n - 1 @jim_thompson5910 one more?
jim_thompson5910
  • jim_thompson5910
show me what you have so far
anonymous
  • anonymous
i dont have anything? i dont know how to do it?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
second term = -2 third term = -2*r = -2r fourth term = (-2r)*r = -2r^2 fifth term = (-2r^2)*r = -2r^3 ------------------------------------------------------- solve for r -2r^3 = 16
anonymous
  • anonymous
how do i do thta? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you need to isolate r try to get r all by itself
jim_thompson5910
  • jim_thompson5910
think to yourself -2 times _________ = 16 what goes in the blank?
anonymous
  • anonymous
r
jim_thompson5910
  • jim_thompson5910
-2 times _________ = 16 think of a number that goes in the blank
anonymous
  • anonymous
i got 1.25
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
no
anonymous
  • anonymous
so what is it?
jim_thompson5910
  • jim_thompson5910
this article may help http://www.purplemath.com/modules/solvelin.htm
jim_thompson5910
  • jim_thompson5910
it shows how to solve equations
anonymous
  • anonymous
i dont know? im stupid lol @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
read that article a few times. It should help you aren't stupid
anonymous
  • anonymous
can u show me step by step im more of a visual person @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
for example 2 times x = 10 means x = 5 since 2 times 5 = 10
jim_thompson5910
  • jim_thompson5910
2q = 28 means q = 14 because 2 times 14 = 28
jim_thompson5910
  • jim_thompson5910
you can divide both sides by 2 to isolate the variable
anonymous
  • anonymous
so then its r^3=-8 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
to undo the cube exponent, we take the cube root of both sides |dw:1436317751492:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436317761724:dw|
anonymous
  • anonymous
i got this 1±i√3
jim_thompson5910
  • jim_thompson5910
|dw:1436317773660:dw|
jim_thompson5910
  • jim_thompson5910
only focus on the real solutions
jim_thompson5910
  • jim_thompson5910
|dw:1436317819217:dw|
anonymous
  • anonymous
so the answer is a?
jim_thompson5910
  • jim_thompson5910
|dw:1436317839091:dw|
jim_thompson5910
  • jim_thompson5910
yeah it's the only one that fits
jim_thompson5910
  • jim_thompson5910
so a1 has to be 1
anonymous
  • anonymous
one last one? @jim_thompson5910
anonymous
  • anonymous
Write the sum using summation notation, assuming the suggested pattern continues. -1 + 2 + 5 + 8 + ... + 44 summation of negative three times n from n equals zero to fifteen summation of the quantity negative one plus three n from n equals zero to fifteen summation of negative three times n from n equals zero to infinity summation of the quantity negative one plus three n from n equals zero to infinity
anonymous
  • anonymous
@jim_thompson5910 @UsukiDoll

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