Consider the quadratic sequence: 72; 100; 120; 132 ; ... 2.1.1 2.1.2 2.1.3 Determine T,, the n term of quadratic sequence. A term in the quadratic sequence 72; 100; 120; 132;... is equal to the twelfth term of the sequence of first-differences. Determine the positio of this term in the quadratic sequence. Determine the maximum value of the quadratic sequence.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1.1.3
(x-1)² >9
1.1.4
2Vx+6 +2 = x
Solve simultaneously for x and y:
4x + y = 2 and 4x + y? =8
If it is given that 2' x 3" - 24°, determine the numerical value of x- y.
FION 2
Consider the quadratic sequence: 72 ; 100 ; 120 ; 132 ; ...
2.1.1
Determine T,, the n" term of quadratic sequenee.
A term in the quadratic sequence 72; 100 ; 120; 132; ... is equal to the
twelfth term of the sequence of first-differences. Determine the positio
of this term in the quadratic sequence.
2.1.2
2.1.3
Determine the maximum value of the quadratic sequence.
2.1.4
Determine the maximum value or uie scyuc
-23 ; 5; 25 ; 37; ...
Consider the sequence: -11; 2 sin 3x ; 15 ; ...
Determine the values of x in the interval (0°; 90°] for which the sequence will be
arithmetic.
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Please turn ow
KWAZULUNATAL
pploaded from Stanmorephysics.com
DBE/2021
SC/NSC
ON 3
1
and a =2 000, determine:
3.1.1
T, the general term of the series
3.1.2
T.
Transcribed Image Text:1.1.3 (x-1)² >9 1.1.4 2Vx+6 +2 = x Solve simultaneously for x and y: 4x + y = 2 and 4x + y? =8 If it is given that 2' x 3" - 24°, determine the numerical value of x- y. FION 2 Consider the quadratic sequence: 72 ; 100 ; 120 ; 132 ; ... 2.1.1 Determine T,, the n" term of quadratic sequenee. A term in the quadratic sequence 72; 100 ; 120; 132; ... is equal to the twelfth term of the sequence of first-differences. Determine the positio of this term in the quadratic sequence. 2.1.2 2.1.3 Determine the maximum value of the quadratic sequence. 2.1.4 Determine the maximum value or uie scyuc -23 ; 5; 25 ; 37; ... Consider the sequence: -11; 2 sin 3x ; 15 ; ... Determine the values of x in the interval (0°; 90°] for which the sequence will be arithmetic. at reserved Please turn ow KWAZULUNATAL pploaded from Stanmorephysics.com DBE/2021 SC/NSC ON 3 1 and a =2 000, determine: 3.1.1 T, the general term of the series 3.1.2 T.
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