Question

Progessions

Answer 1

The 2nd term and 3rd term of a geometric progession are 6 and 2/3 respectively. Calculate the sum to infinity.

Answer 2

\[r=\frac{ 2 }{ 3 }\div6\]

Answer 3

\[First~term,a=54\]

Answer 4

\(a = 54\)

\(r=1/9\)

use the infinite geometric series formula :
\[S_{\infty}=\dfrac{a}{1-r}\]

Answer 5

my answer is \[60\frac{ 3 }{ 4 }\]

Answer 6

Looks perfect !
http://www.wolframalpha.com/input/?i=54%2F%281-1%2F9%29

Answer 7

Thnx @ganeshie8 This means my book's answer is wrong...

Answer 8

whats the answer from textbook ?

Answer 9

9

Answer 10

How can the infinite sum of positive terms be 9 if it starts with 54 ?

Answer 11

it must be at least 54, so textbook is clearly wrong

Answer 12

okayy

Answer 13

your work looks good !