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

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

(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.

Below is a Geometric sequence with u1 = 5, and the common ratio r5,5√3,53,53√3, .......a) Find the value of r.b) Find the general term un.c) Find which term of the sequence will be 581,d) Show that the sum the infinite terms of the sequence in the form 5√3√3−1.

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

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