amanf

2020-12-12

Is the sequence $-2,\text{}-1,\text{}-\frac{1}{2},\text{}-\frac{1}{4},\text{}\cdots $ geometric? If so find the common ratio. If not, explain why

AGRFTr

Skilled2020-12-13Added 95 answers

Step 1
To Determine:
Given sequence is geometric or not.
$-2,\text{}-1,\text{}-\frac{1}{2},\text{}-\frac{1}{4},\text{}\cdots $
Step 2
Explanation:
When given sequence is geometric, it is must have common ratio.
Common ratio is a ratio just divide each number from the number preceding it in the sequence.
In given sequence,
ratio of $-1\text{}\text{}\text{}-2$ is:
$\frac{-1}{-2}=\frac{1}{2}$

$\text{ratio of}\text{}-1/2\text{}\text{}\text{}-1\text{}\text{is:}$

$\frac{-\frac{1}{2}}{-1}=\frac{1}{2}$

$\text{ratio of}\text{}-\frac{1}{4}\text{}\text{}-\frac{1}{2}\text{}\text{is:}$

$\frac{-\frac{1}{4}}{-\frac{1}{2}}=\frac{2}{4}=\frac{1}{2}$
We see that, all ratio are same
So, common ratio :
$r=\frac{1}{2}$
It means given sequence is geometric sequence

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$