Mathematics: Based on the pattern, what are the next two terms of the sequence? 9,9/5, 9/25 , 9/125 , 9/625 . . a. 9/3125 , 9/3130 b. 9/630, 9/3130 c. 9/3125, 9/15625 d. 9/630 , 9/635

Based on the pattern, what are the next two terms

Ответ:

PLEASEHELP4528

16.01.2022

Mathematics

The answer is the option C

$\frac{9}{3,125}, \frac{9}{15,625}$

Step-by-step explanation:

we have

$9, \frac{9}{5},\frac{9}{25},\frac{9}{125},\frac{9}{625},...$

Rewrite the sequence

$\frac{9}{5^{0}}, \frac{9}{5^{1}},\frac{9}{5^{2}},\frac{9}{5^{3}},\frac{9}{5^{4}},...$

therefore

The next two terms of the sequence are

$\frac{9}{5^{5}}, \frac{9}{5^{6}},...$

$\frac{9}{3,125}, \frac{9}{15,625},...$

0,0(0 оценок)

Ответ:

supergirl101911

16.01.2022

Mathematics

Option C. $\frac{9}{3125} and \frac{9}{15625}$

Step-by-step explanation:

The given sequence is $9, \frac{9}{5}, \frac{9}{5^{2} }, \frac{9}{5^{3}}, \frac{9}{5^{4}}.........$

This sequence is the geometric sequence of which first term is 9,

and common difference $r=\frac{\frac{9}{5} }{9}=\frac{9}{(5)(9)}=\frac{1}{5}$

As we know explicit formula of a geometric sequence is

$T_{n}=ar^{n-1}$

where n is the number of term.

We have to get 6th and 7th term of the sequence.

$T_{6}=9.(\frac{1}{5})^{6-1}=\frac{9}{5^{5} }$

and $T_{7}=9.(\frac{1}{5})^{7-1}=9.(\frac{1}{5})^{6}$

Therefore answer will be next two terms are $\frac{9}{3125} and \frac{9}{15625}$

0,0(0 оценок)

Ответ:

daemonacoster

20.02.2023

Mathematics

A:)

Step-by-step explanation:

0,0(0 оценок)

Based on the pattern, what are the next two terms of the sequence? 9,9/5, 9/25 , 9/125 , 9/625 . .

a. 9/3125 , 9/3130

b. 9/630, 9/3130

c. 9/3125, 9/15625

d. 9/630 , 9/635

Ответ:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question