Answer:
it does not exist
Step-by-step explanation:
if it is a geometric sequence, there must be a common ratio or multiplication factor between neighboring terms :
102 × r = 112.2
r = 112.2/102 = 1.1
is 112.2 × 1.1 = 123.42 ?
yes.
so, it is a geometric sequence with the common ratio of 1.1.
the problem is now : the ratio is > 1.
that means the sequence tends are growing, and growing, and the sum is therefore rather "exploding" than converging.
for the sum to converge to a specific number the individual terms need to get smaller and smaller in absolute numbers.
with r > 1 this is impossible, so there is no sum for this sequence (with n going to infinity, so does the sum, and as "infinity" is not a value per se, the sum does not exist).
