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3 years ago

An=-31+(n-1)-11 find the eleventh term

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

An=-31+(n-1)-11 find the eleventh term

a11 = -31 + (-11) (11-1)

a11 = -31 +-11(10)

a11 =-31 +-110

a11 = -142

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Help please?

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago

209.106 in word form

Scrat [10]

In mathematics, number with a symbol of a point, is expressed in decimal form. When they are read, the numbers after the decimal point are read digit after digit. Therefore, in word form, the number is read as: Two hundred nine point one zero six.

8 0

3 years ago

Read 2 more answers

3/4n=1/2 what is n

Korolek [52]

Answer:

n=2/3

Step-by-step explanation:

n=1/2÷3/4

n=1/2×4/3

n=4/6

n=2/3

4 0

3 years ago

How to use the results of part (b) and appropriate computation formulas to compute the sample variances s2 and sample standard d

anygoal [31]

$s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}$

where $\bar x=22$ is the mean. Since

$\sum x^2=2568$
$\sum x=110$

you have variance

$s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37$

and so the standard deiviation is

$s=\sqrt{37}\approx6.083$

7 0

3 years ago

I need help with questions a b c d and e.

KengaRu [80]

Answer:

Complementary angles are two angles that have a sum of 90°.

Supplementary angles are two angles that have a sum of 180°.

A ABC BCD SUPP 90+90=180

B BCA ACD COMPL 45+45=90

C BCA CDA NEITHER 45+90=135

D ABC CDA SUPP 90+90=180

E BAC CAD COMPL 45+45=90

Step-by-step explanation:

3 0

3 years ago