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