Answer:
Step-by-step explanation:
If you map the sequence out, you get the following values:
a = 1, a(n) = 2
a = 2, a(n) = -3
a = 3, a(n) = -8
As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.
Answer:
X = {8n – 7n – 1 : n ϵ N}
Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]
X = {8n – 7n – 1}
= (1 + 7)n – 7n – 1
= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1
= nC2 72 + …… + nCn 7n
= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)
From (1) and (2),
X is divisible by 49.
Y has all multiples of 49.
X ⊂ Y
cos ? = 5/9
cos ^-1 = about 56.25
Answer:
Less than
Step-by-step explanation:
Using the data from the question, we can create the following equation to solve this...
44.60 - (26.30 + 21.30) = x
44.60 - (47.60) = x
-3 = x
As you can see Lucia withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit. This can all be seen using the above equation which is designed.
