Discrete Mathematics Practice Test 3

1. The Inverse exist only for non-singular matrices.

2. Let the sequence be 1x2, 3x2², 5x2³, 7x2⁴, 9x2⁵......... then this sequence is _________

3. The series a,(a+b)/2, b is in _______

4. A series can either be AP only or GP only or HP only but not all at the same time.

5. For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A.

6. State whether the given statement is true or false.

1, 1, 1, 1, 1........ is a GP series.

7. For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^T if the orders of matrices are appropriate.

8. In the given Geometric progression find the number of terms.

32, 256, 2048, 16384,.........,250.

9. For two equal sets there ___________

10. If in an AGP the common ratio of GP is 1 then that sequence becomes an AP sequence.