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A recurrence relation is given by: Un = 2Un - 1 + 3
If U0 = 0, calculate U2 =
Suggested Answer: B
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29 comments · newest first
LI
Lizbeth
6 months ago
That makes U2 = 9. I agree with Harley!
GR
Gracia
6 months ago
Let's break it down. U1 = 3, so U2 = 2*3 + 3.
TO
Tori
6 months ago
No way, it's definitely 21.
JI
Jillian
7 months ago
I feel like it's 3.
CH
Chauncey
7 months ago
I thought it would be higher, like 13 or something.
DA
Dannette
7 months ago
Totally agree, it’s definitely 9!
TI
Tina
8 months ago
Wait, are you sure about that?
SH
Shantay
8 months ago
Yeah, U1 is 3, so U2 = 9!
AI
Ailene
8 months ago
U2 = 2U1 + 3, right?
CY
Cyril
8 months ago
B) 9 is the way to go. The recurrence relation is easy to understand, and the solution follows logically from the given information.
CA
Carline
8 months ago
Haha, this question is a piece of cake! The answer is clearly C) 13. Anyone who can't solve this must be sleeping in their math class.
JE
Jesusita
8 months ago
Hmm, I'm not sure about this one. The recurrence relation looks simple, but I'm getting a different result. I'll have to double-check my work.
RO
Rolande
9 months ago
D) 21 seems like the correct answer to me. The recurrence relation is straightforward, and if we plug in the values, we should get 21 for U2.
ES
Essie
9 months ago
I feel like the answer might be 9, but I need to double-check my calculations for U1 and U2.
GO
Goldie
9 months ago
I practiced a similar question where we had to find terms in a sequence, but I can't remember the exact steps for this one.
KR
Krystina
9 months ago
If I recall correctly, U1 should be 3, but I'm not entirely sure how to get there.
EV
Evangelina
9 months ago
I think I remember that we need to calculate U1 first before finding U2.
RU
Rutha
9 months ago
Okay, let me walk through this step-by-step. U0 = 0, so U1 = 2(0) + 3 = 3. Then U2 = 2(3) + 3 = 9. I'm feeling good about this - the answer is definitely B) 9.
QU
Quentin
10 months ago
I think I've got this! The recurrence relation is Un = 2Un-1 + 3. So we start with U0 = 0, then U1 = 2(0) + 3 = 3, and finally U2 = 2(3) + 3 = 9. The answer must be B) 9.
CL
Clement
10 months ago
I think the answer is B) 9. The recurrence relation gives us the formula to calculate the next term, and with U0 = 0, we can easily solve for U2.
HA
Harley
10 months ago
I think U2 is 9.
LI
Lisandra
10 months ago
I got 13.
YU
Yuette
11 months ago
Hmm, I'm a bit confused. How do we use the recurrence relation to calculate U2? I know we need to start with U0, but I'm not sure how to apply the formula correctly. Any tips on the best approach here?
ST
Stanford
11 months ago
Okay, let's think this through step-by-step. If U0 = 0, then U1 = 2(0) + 3 = 3. So U2 = 2(3) + 3 = 9. I'm pretty confident that the answer is B) 9.
VA
Val
5 months ago
I agree, B) 9 seems correct.
AV
Avery
6 months ago
Yes! That gives us 9.
DO
Doug
6 months ago
So U2 would be 2(3) + 3, right?
UL
Ula
6 months ago
I see your point! U1 is definitely 3.
ME
Melina
10 months ago
Nice work! We nailed it!