Question
Fill in the missing digits in each problem.$$ rac{-285}{28_{-} 4}$$
Fill in the missing digits in each problem. $$ \frac{-285}{28_{-} 4} $$
Answers
For the following exercises, write an explicit formula for each sequence.
$$4, 7, 12, 19, 28, …$$
OK, two full Kurds eight over 9 16 over 27 receiving Platon, think of this one So the top value is getting multiplied by two two by two giving you for full time. Still paid in times to 16 right? He was going that way. What about the mountain for the bottom? We multiplying by three every time. So one times three giving us three three times 399 times 3 27 So that's one by 16. The top by two gives us 30 to 27.3. Gives his 81 that's the next too. Okay, so we do the same now to get the next to 32 times two getting 64. 81 times three Giving us 2 43 So it's actually what we're doing is just multiplying my true with three every
This problem Lasses to determine the middle term in the sequence of three. And it is an arithmetic sequence. We know that we have two terms 14 and 28 in the middle term is the same distance from 14 as it is from 28. So we can simply do 28 minus thanks is the same this x minus 14 where X is this middle term Because max minus 14 is the difference here in 28 minus X is the difference here. And so if we solve this simple equation, have to ex equals 42 and X equals 21 that is your answer.
All right, guys, we have the sequence five, eight and 11. Now they want to find the 27 of term in this sequence. No, you'll notice what the sequence is. If you look at it is the difference between each of these numbers is three. So if the we have a common constant difference between each of them, then that's what it was. An arithmetic sequence. So we're gonna use this formula. This uber gay is the formula for a new air max sequence. So a 20 so a 27 is going to equal a one, which is five plus us 27 which is our and value minus one times D. That means a 27. Now it's gonna equal 83.
For the given sequence of numbers, we can see that they said seven by two and four in Britain is 852 on this is nine by two on 500 understand by two. So it is obvious that the next time will be 11 by two. On the next time will be 12 by two, which is called to six so the next to council will and number two and six.