For this problem we are asked to approximate or eat to the negative 2.4 years. Using this, um, some nation rule right here. So the first one we're asked to um, Carre is asking us to approximate what f of Make it a 2.4 years Within equals 2. 3. Okay, So, so therefore this is going to be equal to. So using this, uh, this summation rule, so K equals zero. We're in is three X. Is gonna be negative 2.4 race K over K. Factorial. So now I'm going to expand this summation. So this is equal to negative 2.4 K. Starts at 0/0 factorial Plus -2.42. The first over, well, first factorial plus negative 2.4 to the second, Power over two factorial plus negative 2.4 to the third fact oil over three facts. I mean negative 2.4 to the third power over three factorial. And if you use your calculator to simplify this, you will get the sum of approximately negative point A 24 So now the next thing is asking us to approximate f of -2.4 within Equals to six. So therefore my summation rule is going to be okay Equals to 0-6 of -2.4 is my ex to the K power over K. Factorial. So basically I'm adding when K go zero and K goes one, K goes to and keiko's three, which I have already done from part A. So I'm gonna separate this summation. So this is this is equivalent to The sum of K to the 0-3, which which we we we did from part a class. The summation of K equals 4-6. Okay, so we want to end at six at the end. So negative two point forward to the K over K Factorial. So we already know what the answer for this one is. It's negative point point You know, 8-4. So now I just need to figure out what the some of this part is which is going to be right here. So this sound is gonna be negative 2.4 where K starts at floor Over four factorial plus -2.4 To the 5th power over five factorial plus negative 2.4 to the six Power over six factorial. And if you use your calculator to simplify this, you will get approximately .984- 6, 88. So therefore my final answer, I'm going to add negative negative point a 24 plus 0.984 to 688 So my final answer equals two for part B. Yes .160 2688. So, and parsi is asking us to approximate f of negative for using our calculator. So f of negative 2.4. So if we use our calculator, our calculator has the E. So I can just type in what E. Two negative 2.4 years. So the exact answer for this one should be So find the E. In your calculator raised that too, Parentheses -2.4. Close the parentheses. So the answer should be approximately .09071 795. Okay, so you can see that when we did into the sixth. Our previous previous answer is still not very close to the exact answer and that's what D. Is asking us to do and carry D. Is asking us to figure out, you know, using our calculator in the sequence mode. Figure out, you know, the value of N. Required to obtain Up to eight correct small places. So to do that, the first thing you're gonna do is turn your calculator a into a sequence mode. So click on mode and go down to function and go over to sequence mode. And now I'm gonna tap in our sequence rule for this. Um ah For this summation. So our sequence rule is access negative 2.4 raised to K over K. factorial. So you're going to go to second, start And go to hopes and then choose five. Which that sequence. So you're going to type in your sequence rule, your summation rule which is negative 2.4. Grace too. And okay, because we're in the sequence mode and then divided by and factorial. So math and go to prob and for so that's how single sequence rule and are variable here is in Based on our calculator, we started at zero And you can see that, you know, and you go six is still very far away from the correct answer. So we need to really, you know, go up a lot higher. So let me double the six, you know, try 12 and see if that's anywhere close. And now I'm going to paste that sequence rule in my homepage. So there's a sequence. And I'm interested in the summer because the sound will will help us approximate, you know, We'll eat to the negative 2.4 years. So you're going to do second in the elite, which means insert. And now you're going to do a second, start again And go over to math and then choose five. So I'm adding the some of the sequence. So and I said earlier that we're letting in At end at 12 C if that's anywhere close. Okay, so I should get you know 0.071795. Okay so that's what I need to get so And I forgot to write the last 133. So And we have 0.07 299 instead 179. So I still need to go harder than 12. So let me let's say in is 15 then. Okay I'm getting closer uh 7179 but I need a five not a zero at the end so second enter again And let me change to 16. I'm still now their second enter by 17 And there we go. So the answer here is in equals 2 17.