vera_ewing
  • vera_ewing
Can someone please explain how to solve this SAT Math question?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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vera_ewing
  • vera_ewing
a, 2a−1, 3a−2, 4a−3, ... For a particular number a, the first term in the sequence above is equal to a, and each term thereafter is 7 greater than the previous term. What is the value of the 16th term in the sequence?
vera_ewing
  • vera_ewing
@sammixboo Can you please explain how to solve this?
freckles
  • freckles
you are given term is 7 more than the last term that we could go ahead and solve for a knowing that 2a-1 is 7 more than a you have the equation 2a-1=a+7 (solve for a )

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freckles
  • freckles
once we find a then I think things will be more clearer to you
vera_ewing
  • vera_ewing
Could I do (2a-1)-a=7 ?
freckles
  • freckles
yes so you have 2a-a-1=7 and you can also add 1 on both sides 2a-a=7+1
vera_ewing
  • vera_ewing
Ohhh I see. Can you give me a similar problem to solve please?
freckles
  • freckles
but we aren't done with that problem
freckles
  • freckles
we are asked to find the 16th term not a
freckles
  • freckles
finding a will help us though
vera_ewing
  • vera_ewing
Yes, so the 16th term would be 113, right?
freckles
  • freckles
yep you are brilliant :)
freckles
  • freckles
a similar problem... hmm... one sec
freckles
  • freckles
You have the sequence: 1-a,2-2a,3-3a,4-4a,.... You are given that each term is 5 less than the previous term. Find the 9th term.
vera_ewing
  • vera_ewing
So (1-a) - 5 = 2 - 2a ?
freckles
  • freckles
that is the exact equation I have setup :)
vera_ewing
  • vera_ewing
Did you get a=6?
freckles
  • freckles
yes
vera_ewing
  • vera_ewing
So the 9th term is -45?
freckles
  • freckles
totally what I got great job
vera_ewing
  • vera_ewing
Yay! Thank you so much!! :)
freckles
  • freckles
np

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