13.The ratio of the term x° to the term x in the expansion of (3+2x) is A. 354:135 B. 364:135 C. 364x:125 D. 364x²:135

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve all Q13, 14, 15 explaining detailly each step

109
A-12
B.12 D.-
7.
C. 7
18
15. The ratio of the term x° to the term x" in the expansion of (3+2x) Is
A. 354:135
B. 364:135 C. 364x²:125 D. 364x²:135
14.If the expansion of (3-2x)'8 is valid x lies in the interval
C. (-2, 2)
-3 2
-3 3
В.
2
(금,
2'3
3.
3
(3
4
1 x 3 x 5 (3
2
3
1 x 3
+ ... is
3
15. The sum to infinity of the series: 1 --LA-
-
2!22 (4,
3!23
4,
4!24
8
A. 1
B.
D.
3
2
1+x
16. Given
z 1 + ax + bx´, by writing x = 1/10 the approximate value of v11 is :
V1-x
663
221
A.
100
1989
C.
B.
200
200
1+x
1+x2
1
17.Given that
- 1 + x + ÷x², the approximate expansion for
is
1-x2.
1-x)
1
1
A.1 +
2
B.1 + x² +
÷x*
2
1
1
CI+x? + -x
D. 1+-x + -x
3
4
2
X
18,The first three terms in the expansion of
1- x2
in ascending powers of - are
"B,1 –- C- D.---
A.
x3
X
x3
x?
19.The expansion of 1
A.1- 4x + 7x²
C.1- 4x - 7x²
20. The expansion of ( 2 + 3x)-lis valid when
B. 1+4x - 7x² + ...
D. 1 +4x + 7x² + ...
-
1:
1S
-2
K.
3.
B.<x<
В.
3
C.
<x<
3
< X <
D:
3.
3.
3
3.
314
%3D
114
Transcribed Image Text:109 A-12 B.12 D.- 7. C. 7 18 15. The ratio of the term x° to the term x" in the expansion of (3+2x) Is A. 354:135 B. 364:135 C. 364x²:125 D. 364x²:135 14.If the expansion of (3-2x)'8 is valid x lies in the interval C. (-2, 2) -3 2 -3 3 В. 2 (금, 2'3 3. 3 (3 4 1 x 3 x 5 (3 2 3 1 x 3 + ... is 3 15. The sum to infinity of the series: 1 --LA- - 2!22 (4, 3!23 4, 4!24 8 A. 1 B. D. 3 2 1+x 16. Given z 1 + ax + bx´, by writing x = 1/10 the approximate value of v11 is : V1-x 663 221 A. 100 1989 C. B. 200 200 1+x 1+x2 1 17.Given that - 1 + x + ÷x², the approximate expansion for is 1-x2. 1-x) 1 1 A.1 + 2 B.1 + x² + ÷x* 2 1 1 CI+x? + -x D. 1+-x + -x 3 4 2 X 18,The first three terms in the expansion of 1- x2 in ascending powers of - are "B,1 –- C- D.--- A. x3 X x3 x? 19.The expansion of 1 A.1- 4x + 7x² C.1- 4x - 7x² 20. The expansion of ( 2 + 3x)-lis valid when B. 1+4x - 7x² + ... D. 1 +4x + 7x² + ... - 1: 1S -2 K. 3. B.<x< В. 3 C. <x< 3 < X < D: 3. 3. 3 3. 314 %3D 114
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