In the given series, you will be looking at both the letter pattern and the number pattern. Fill in the blank with the most appropriate answer.1. Look at this series: 2, 1, 1212, 1414,... What number should come next?A. 1313B. 1818C. 2828D. 1161162. Look at this series: 36, 34, 30, 28, 24,... What number should come next?A. 20B. 22C. 23D. 263. Look at this series: 53, 53, 40, 40, 27, 27,... What number should come next?A. 12B. 14C. 27D. 534. Look at this series: 14, 28, 20, 40, 32, 64,... What...
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In the given series, you will be looking at both the letter pattern and the number pattern. Fill in the blank with the most appropriate answer.
1. Look at this series: 2, 1, 1212, 1414,... What number should come next?
A. 1313 | B. 1818 | C. 2828 | D. 116116 |
2. Look at this series: 36, 34, 30, 28, 24,... What number should come next?
3. Look at this series: 53, 53, 40, 40, 27, 27,... What number should come next?
4. Look at this series: 14, 28, 20, 40, 32, 64,... What number should come next?
5. Fill in the blank in the middle of the series. SCD, TEF, UGH, ____, WKL.
6. Fill in the blank in the middle of the series. ELFA, GLHA, ILJA, _____, MLNA.
A. OLPA | B. KLIMA | C. LLMA | D. KLLA |
7. Fill in the blank at the end of the series. BCB, DED, FGF, HIH, _____.
8. Fill in the blank in the middle of the series. P5QR, P4QS, P3QT, ______, P1QV.
A. PQW | B. PQV2 | C. P2QU | D. PQ3U |
Evaluate the expression at
x3 + 12x + 48x + 64
= (x + 4)2
= (- 4 + 4)2
= 02
= 0
Fill in the blank: ............
x3 - a = (x - 2)(x2 + 2x + 4)
x3 - a = x3 - 8
a = 8
Fill in the blank: (x - 1)3 = x3 - 3x2 + 3x - 1 Fill in the blank: (x + 1)3 = x3 + 3x2 + 3x + 1Evaluate , given and .
Answer:
a + b = 8
(a + b)2 = 82
a2 + b2 + 2ab = 64
a2 + b2 + 2 . 10 = 64
a2 + b2 + 20 = 64
a2 + b2 = 64 - 20
a2 + b2 = 44
(a - b)2
= a2 - 2ab + b2
= 44 - 2 . 10
= 44 - 20
= 24
Given .
Evaluate A at .
Answer: A
A = (x - 5)(x2 + 5x + 25) - x2(x + 3) + 3x2
= x3 - 125 - x3 - 3x2 + 3x2
= - 125
Given .
A = (x - 5)(2x + 1) - 2x(x - 3) + 3x= 2x2 + x - 10x - 5 - 2x2 + 6x + 3x= - 5Given a rectangle with dimension by . Find the area of the rectangle when and .Evaluate A at .
Answer: A
Answer: . Given and . Evaluate .Answer: a - b = 5(a - b)2 = 52a2 - 2ab + b2 = 25a2 + b2 - 2 . 4 = 25a2 + b2 - 8 = 25a2 + b2 = 25 + 8a2 + b2 = 33a3 - b3 = (a - b)(a2 + ab + b2) = 5 . (33 + 4)= 5 . 37= 185
Given and . Evaluate .
Answer: a + b = 5(a + b)2 = 52a2 + 2ab + b2 = 25a2 + b2 + 2 . 4 = 25a2 + b2 + 8 = 25a2 + b2 = 25 - 8a2 + b2 = 17a3 + b3= (a + b)(a2 - ab + b2)= 5 . (17 - 4)= 5 . 13= 65