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Find the first 4 terms of the recursively defined sequence: 01 = 6, an = 10 2an-1 for all n > 2...

Question

Find the first 4 terms of the recursively defined sequence: 01 = 6, an = 10 2an-1 for all n > 2

Find the first 4 terms of the recursively defined sequence: 01 = 6, an = 10 2an-1 for all n > 2



Answers

Find the first four terms of the recursively defined sequence. $$a_{0}=6 ; a_{n}=a_{n-1}-2, n-1,2,3, \ldots$$

Here. We have to find the 1st 4 times off the seaQuest whose first term is given by minus 10. It do is given by it bad a off and plus one is equal. Do a off in minus off a off and my next one. So from this we will have its resicore toe 80 minus off. Even this will be equal Toe eight minus off minus tan is equal toe. Getting we will have a Ford is equal toe a three minus off a toe. This recall toe 18 minus off. It is equal to 10. So the 1st 4 times will be minus off 10 It it, Dean and then

Even Israel. And the first? No. Because your formula here we can find the 1st 4 times on the seconds Where is going too far e wanting. Go join the rivers. Turn mine, Asta. And he was just one. Could you three made Yuriko Jenna Because they managed to include you won a tree. Go do one minus three. Humanist, you.

We wish to find the first six turns of this recursive li defined sequence. So notice that in the formula each term depends on the previous two terms. Which is why we were already given the first two terms or else we won't be able to find the next term. So let's go ahead and write those two down first. So S one that's our first term, that's equal to one and as to which is the second term that's equal to fight. Now we can use these two terms to find the rest. So as three is going to be equal to as 3 -1. So the previous term, that's five plus two times the previous previous terms. So that's one. So this is five plus two which has seven and as four is going to be the previous year which is seven plus two times the previous previous term, which is fine. So this is 17 and then S five is going to be the previous term, which is 17 plus two times the previous previous term, which is seven, So this is 17 plus 14, which is 31. And then finally we have our sixth term, which is going to be the previous term, that's 31. And then we had to add two times the previous previous term, which is 17, So this is 31 plus 34, which is 65.

Here. We have to write the 1st 4 times off the sequence whose first, um, Evan is given us toe. It is given is equal to three and elf and plus one is given is equal toe a often plus off a off and my next one. So from the form long, we will have a trees equal dough, a new place off. Even so, this will be equal to three plus two, which will be equal to five. Similarly, we will have a four will be equal, do a three plus a tow. This will be Quito five plus off. Three. This will tickle toe it. So the 1st 4 times off the sequence will be toe three five and it


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