The Binomial Theorem — Cumulative exam Answers

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1
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Find the 17th term in the sequence for which a1 = 10 and d = -3.

A
-42
B
34
C
24
D
-38
2
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Determine whether the series -5 + 25 - 125 + ... is convergent or divergent.

A
convergent
B
divergent
3

Solve each equation for .

Question illustration
A
60, 120
B
30, 150
C
30, 330
D
60, 300
5

Find the 5th term of the expansion of (x + y)9.

A
81x4y5
B
126x4y5
C
81x5y4
D
126x5y4
6

Solve a triangle with , , and .

Question illustration
A
; ;
B
; ;
C
; ;
D
; ;
7

Express the series using sigma notation. 1 + 4 + 16 + ... + 256.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
9

Determine the common ratio and find the next three terms of the geometric sequence.8, -20, 50, ...

A
-2.5; -125, 312.5, -781.25
B
-2.5; -70, 240.6, -642.85
C
2.5; -125, 312.5, -781.25
D
2.5; -70, 240.6, -642.85
10

Evaluate the limit. .a.c.b.2d.limit does not exist

Question illustration
A
A
B
B
C
C
D
D
11

Find the area of the triangle with A = °, b = feet, and c = feet. Round to the nearest tenth.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
14

Given and , find and

Question illustration
A
,
B
,
C
,
D
,
18

Simplify the expression.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
19

Determine the common ratio and find the next four terms of the geometric sequence.

Question illustration
A
;
B
;
C
;
D
;
20

Find the exact value of .a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D

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