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andriy [413]
3 years ago
11

write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 3, 10, 17, 24, 31, 38, ...

Mathematics
1 answer:
blagie [28]3 years ago
3 0
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
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gladu [14]

The scuba diver must descend 3 feet in the fifth minute to meet the goal.

Why?

To find how many feet does the scuba diver need to descend to reach the goal of 35 feet in 5 minutes, we need to calculate how many feet he did descend on the first 4 minutes.

So, calculating we have:

FirstMinute=9ft\\SecondMinute=11ft\\ThirdMinute=5ft\\FourthMinute=7ft\\Total=9ft+11ft+5ft+7ft=32ft\\\\Goal=35ft\\\\Needed=Goal-Total(4Minutes)\\\\Needed=35ft-32ft=3ft

Hence, we can see that at the 4 minute, he has only descended 32ft. It means that he need to descend 3 feet more in the fifth minute.

Have a nice day!

7 0
3 years ago
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Anna [14]

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84 is your answer

Step-by-step explanation:

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5 0
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I hope this helps you




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3 0
3 years ago
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vlabodo [156]

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