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Math Problems
Algebra 2
Find the sum of a finite geometric series
Simplify by adding, subtracting, multiplying, or dividing, as indicated:
\newline
364
+
52
+
867
+
9
364+52+867+9
364
+
52
+
867
+
9
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2017
+
…
+
2024
2017+\ldots+2024
2017
+
…
+
2024
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Q.
1
1
1
. What is the sum of
130
+
125
+
191
130+125+191
130
+
125
+
191
?
\newline
A.
335
335
335
\newline
B.
456
456
456
\newline
C.
446
446
446
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The number of common terms to the two sequences
17
,
21
,
25
,
…
,
417
17, 21, 25, \ldots, 417
17
,
21
,
25
,
…
,
417
and
16
,
21
,
26
,
…
,
466
16, 21, 26, \ldots, 466
16
,
21
,
26
,
…
,
466
is
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Which of the following is a whole number?
\newline
Choices:
\newline
(A)
0
0
0
\newline
(B)
6.888
…
6.888\ldots
6.888
…
\newline
(C)
9
2
\frac{9}{2}
2
9
\newline
(D)
−
10
-10
−
10
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Find the sum of the first
25
25
25
terms in this geometric series:
\newline
8
+
6
+
4.5
…
8+6+4.5 \ldots
8
+
6
+
4.5
…
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
.
03
03
03
\newline
(B)
4
4
4
.
57
57
57
\newline
(C)
29.91
\mathbf{2 9 . 9 1}
29.91
\newline
(D)
31
31
31
.
98
98
98
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The common ratio of a geometric series is
3
3
3
and the sum of the first
8
8
8
terms is
3280
3280
3280
.
\newline
What is the first term of the series?
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The sum of the first
3
3
3
terms of a geometric series is
171
171
171
and the common ratio is
2
3
\frac{2}{3}
3
2
.
\newline
What is the first term of the series?
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The sum of the first
6
6
6
terms of a geometric series is
15
15
15
,
624
624
624
and the common ratio is
5
5
5
.
\newline
What is the first term of the series?
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The first term in a geometric series is
5
5
5
and the common ratio is
2
2
2
.
\newline
Find the sum of the first
10
10
10
terms in the series.
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The first term in a geometric series is
64
64
64
and the common ratio is
0
0
0
.
75
75
75
.
\newline
Find the sum of the first
4
4
4
terms in the series.
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The common ratio in a geometric series is
0
0
0
.
5
5
5
and the first term is
256
256
256
.
\newline
Find the sum of the first
6
6
6
terms in the series.
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The common ratio of a geometric series is
1
4
\frac{1}{4}
4
1
and the sum of the first
4
4
4
terms is
170
170
170
.
\newline
What is the first term of the series?
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What is the period of
\newline
y
=
8
cos
(
5
π
x
+
3
π
2
)
−
9
?
y=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ?
y
=
8
cos
(
5
π
x
+
2
3
π
)
−
9
?
\newline
Give an exact value.
\newline
units
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Solve
23
+
3
÷
3
23+3\div 3
23
+
3
÷
3
\newline
_____
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Find the sum of the finite geometric series.
\newline
∑
n
=
1
6
2
⋅
2
(
n
–
1
)
\sum_{n = 1}^{6} 2 \cdot 2^{(n – 1)}
∑
n
=
1
6
2
⋅
2
(
n
–1
)
\newline
______
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