Can someone please explain how to solve this SAT Math question?

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- vera_ewing

Can someone please explain how to solve this SAT Math question?

- jamiebookeater

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- 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

@sammixboo Can you please explain how to solve this?

- 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

once we find a
then I think things will be more clearer to you

- vera_ewing

Could I do (2a-1)-a=7 ?

- freckles

yes so you have 2a-a-1=7
and you can also add 1 on both sides
2a-a=7+1

- vera_ewing

Ohhh I see. Can you give me a similar problem to solve please?

- freckles

but we aren't done with that problem

- freckles

we are asked to find the 16th term not a

- freckles

finding a will help us though

- vera_ewing

Yes, so the 16th term would be 113, right?

- freckles

yep you are brilliant :)

- freckles

a similar problem...
hmm...
one sec

- 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

So (1-a) - 5 = 2 - 2a ?

- freckles

that is the exact equation I have setup :)

- vera_ewing

Did you get a=6?

- freckles

yes

- vera_ewing

So the 9th term is -45?

- freckles

totally what I got
great job

- vera_ewing

Yay! Thank you so much!! :)

- freckles

np

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