Determine whether the infinite geometric series is convergen

Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 7 - 7 + 7 - 7 + ...

Solution

5)

geometric series converges when |r|<1

7-7+7-7+..................

first term =7

second term =-7

common ratio, r=-7_/7

common ratio, r=-1

|r|=1

so geometric series doesnot converge,

DIVERGENT