6 A sequence is defined by the term an 10 1 Is it an 1 arith

6. A sequence is defined by the term an 10\"- 1 Is it an (1) arithmetic sequence, (2) a geometric sequence or (3) neither of them? Be sure to s how or explain the reason for your answer for full credit. 7. Assume the sequences {a} and {bi} are not all zeros. Is the statement 5 + 10 an -210 5a\" true, false, or neither true nor false? Explain clearly the reason for your answer.

Solution

when n=1, we get 10¹-1=9

when n=2, we get 10²-1=99

when n=3, we get 10³-1=999

when n=4, we get 9999

The series is 9,99,999,9999,......

where neither the difference is same nor the ratio. Hence it is neither of them.