Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
81
−
7
×
−
42
18
×
27
−
6
×
−
15
45
\frac{81}{-7} \times \frac{-42}{18} \times \frac{27}{-6} \times \frac{-15}{45}
−
7
81
×
18
−
42
×
−
6
27
×
45
−
15
View step-by-step help
Home
Math Problems
Algebra 2
Sum of finite series starts from 1
Full solution
Q.
81
−
7
×
−
42
18
×
27
−
6
×
−
15
45
\frac{81}{-7} \times \frac{-42}{18} \times \frac{27}{-6} \times \frac{-15}{45}
−
7
81
×
18
−
42
×
−
6
27
×
45
−
15
Simplify Fraction
1
1
1
:
Simplify the first fraction
(
81
)
/
(
−
7
)
(81)/(-7)
(
81
)
/
(
−
7
)
.
\newline
Calculation:
81
÷
−
7
=
−
11.571428571428571
81 \div -7 = -11.571428571428571
81
÷
−
7
=
−
11.571428571428571
.
Simplify Fraction
2
2
2
:
Simplify the second fraction
(
−
42
)
/
(
18
)
(-42)/(18)
(
−
42
)
/
(
18
)
.
\newline
Calculation:
−
42
÷
18
=
−
2.3333333333333335
-42 \div 18 = -2.3333333333333335
−
42
÷
18
=
−
2.3333333333333335
.
Simplify Fraction
3
3
3
:
Simplify the third fraction
(
27
)
/
(
−
6
)
(27)/(-6)
(
27
)
/
(
−
6
)
.
\newline
Calculation:
27
÷
−
6
=
−
4.5
27 \div -6 = -4.5
27
÷
−
6
=
−
4.5
.
Simplify Fraction
4
4
4
:
Simplify the fourth fraction
(
−
15
)
/
(
45
)
(-15)/(45)
(
−
15
)
/
(
45
)
.
\newline
Calculation:
−
15
÷
45
=
−
0.3333333333333333
-15 \div 45 = -0.3333333333333333
−
15
÷
45
=
−
0.3333333333333333
.
Multiply Fractions:
Multiply all the simplified fractions together.
\newline
Calculation:
−
11.571428571428571
×
−
2.3333333333333335
×
−
4.5
×
−
0.3333333333333333
-11.571428571428571 \times -2.3333333333333335 \times -4.5 \times -0.3333333333333333
−
11.571428571428571
×
−
2.3333333333333335
×
−
4.5
×
−
0.3333333333333333
.
More problems from Sum of finite series starts from 1
Question
Find the sum of the finite arithmetic series.
∑
n
=
1
10
(
7
n
+
4
)
\sum_{n=1}^{10} (7n+4)
∑
n
=
1
10
(
7
n
+
4
)
\newline
______
Get tutor help
Posted 2 months ago
Question
Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`
Get tutor help
Posted 1 month ago
Question
Type the missing number in this sequence: `2, 4 8`, ______,`32`
Get tutor help
Posted 2 months ago
Question
What kind of sequence is this?
2
,
10
,
50
,
250
,
…
2, 10, 50, 250, \ldots
2
,
10
,
50
,
250
,
…
Choices:Choices:
\newline
[A]arithmetic
\text{[A]arithmetic}
[A]arithmetic
\newline
[B]geometric
\text{[B]geometric}
[B]geometric
\newline
[C]both
\text{[C]both}
[C]both
\newline
[D]neither
\text{[D]neither}
[D]neither
Get tutor help
Posted 2 months ago
Question
What is the missing number in this pattern?
1
,
4
,
9
,
16
,
25
,
36
,
49
,
64
,
81
,
_
_
_
_
1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_
1
,
4
,
9
,
16
,
25
,
36
,
49
,
64
,
81
,
____
Get tutor help
Posted 1 month ago
Question
Classify the series.
∑
n
=
0
12
(
n
+
2
)
3
\sum_{n = 0}^{12} (n + 2)^3
∑
n
=
0
12
(
n
+
2
)
3
\newline
Choices:
\newline
[A]arithmetic
\text{[A]arithmetic}
[A]arithmetic
\newline
[B]geometric
\text{[B]geometric}
[B]geometric
\newline
[C]both
\text{[C]both}
[C]both
\newline
[D]neither
\text{[D]neither}
[D]neither
Get tutor help
Posted 1 month ago
Question
Find the first three partial sums of the series.
\newline
1
+
6
+
11
+
16
+
21
+
26
+
⋯
1 + 6 + 11 + 16 + 21 + 26 + \cdots
1
+
6
+
11
+
16
+
21
+
26
+
⋯
\newline
Write your answers as integers or fractions in simplest form.
\newline
S
1
=
S_1 =
S
1
=
____
\newline
S
2
=
S_2 =
S
2
=
____
\newline
S
3
=
S_3 =
S
3
=
____
Get tutor help
Posted 1 month ago
Question
Find the third partial sum of the series.
\newline
3
+
9
+
15
+
21
+
27
+
33
+
⋯
3 + 9 + 15 + 21 + 27 + 33 + \cdots
3
+
9
+
15
+
21
+
27
+
33
+
⋯
\newline
Write your answer as an integer or a fraction in simplest form.
\newline
S
3
=
S_3 =
S
3
=
____
Get tutor help
Posted 1 month ago
Question
Find the first three partial sums of the series.
\newline
1
+
7
+
13
+
19
+
25
+
31
+
⋯
1 + 7 + 13 + 19 + 25 + 31 + \cdots
1
+
7
+
13
+
19
+
25
+
31
+
⋯
\newline
Write your answers as integers or fractions in simplest form.
\newline
S
1
=
S_1 =
S
1
=
____
\newline
S
2
=
S_2 =
S
2
=
____
\newline
S
3
=
S_3 =
S
3
=
____
Get tutor help
Posted 2 months ago
Question
Does the infinite geometric series converge or diverge?
\newline
1
+
3
4
+
9
16
+
27
64
+
⋯
1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots
1
+
4
3
+
16
9
+
64
27
+
⋯
\newline
Choices:
\newline
[A]converge
\text{[A]converge}
[A]converge
\newline
[B]diverge
\text{[B]diverge}
[B]diverge
Get tutor help
Posted 1 month ago