Question

Evaluate the series
https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgdoo74Oe2HXA.oFBhsaZL8kW6bOnptzP50A/19809088,B84/Assets/assessmentimages/45218.jpg

Answer 1

know the formula?

Answer 2

No i dont

Answer 3

\(\Large S_n = a_1\dfrac{1-r^n}{1-r}\)

Answer 4

a1 is the first term

Answer 5

r is the common ratio
n = number of terms

Answer 6

is there 7 terms?

Answer 7

yes

Answer 8

1st term, put n = 1
so 1/4

Answer 9

common ratio = r =1/4

Answer 10

1/1/4n

Answer 11

divided by
1-1/4

Answer 12

\(\Large S_7 = a_1\dfrac{1-r^7}{1-r} = \dfrac{1}{4} \times \dfrac{1-(1/4)^7}{1-1/4}\)

just plugged in values

Answer 13

so how would you find the answer?

Answer 14

use calculator if they want answer in decimal,

otherwise after some simplifications we have
\(\dfrac{1-1/4^7}{3}\)

Answer 15

they want it in a frction

Answer 16

\(\dfrac{4^7-1}{3\times 4^7}\)

Answer 17

4^7 = 16384

Answer 18

\(\dfrac{16383}{49152}\)

Answer 19

is that the answer

Answer 20

yeah :/

Answer 21

ok https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgdoo74Oe2HXA.oFBhsaZL8kW6bOnptzP50A/19809088,B84/Assets/assessmentimages/45316.jpg
https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgdoo74Oe2HXA.oFBhsaZL8kW6bOnptzP50A/19809088,B84/Assets/assessmentimages/45616.jpg
https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgdoo74Oe2HXA.oFBhsaZL8kW6bOnptzP50A/19809088,B84/Assets/assessmentimages/45516.jpg
https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgdoo74Oe2HXA.oFBhsaZL8kW6bOnptzP50A/19809088,B84/Assets/assessmentimages/45415.jpg
These are the choices

Answer 22

@hartnn

Answer 23

16383/49152 = 5461/16384

Answer 24

option C

Answer 25

Thank you so much I have 4 more could you help me with them

Answer 26

@hartnn

Answer 27

its past midnight here...i may go offline soonn

Answer 28

ok