Find the sum to infinity of the geometric series 16 + 12 + 9 + ...

Find the sum to infinity of the series 1 + 12 + 14 + ...

A geometric series has first term (11x−3), Second term (5x+3) and third term (3x−3) . (a) Find the two possible values of x  .For each of your values of x ,(b) find the corresponding value of the common ratio of the series.Given that the series is convergent,(c ) find the sum to infinity of the series.Please give 1 answer.(a) x=0   or  x= 9(b) x=0 ,r=−1      x=9 ,   r=12 (c) 192( a ) x=3    or x=8 (b) x=3 , r=−2      x=8 , r=23 (c ) 148(a)  x=1   or x=−9 (b)x=1 , r=1     x=−9 , r=54 (c) 129(a) x=2 or x=−7 (b) x=2 , r=23     x=−7, r=5 (c) 196

Determine whether the geometric series is convergent or divergent. If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.)∞n = 19𝜋 n

For what values of the common ratio r is it possible to find the sum of an infinite geometric series? (Enter your answer using interval notation.)−1x1

The formula for the sum of a geometric series is