Discrete Mathematics

1. In solving an Arithmetic Progression, all are needed except?

• A

• r

• d

• n

2. It is the formula for Arithmetic Progression.

• a_n= a₁ + ( n – 1 ) d

• a_n= a₁ + ( n – 1 ) r

• a_n= a₁ + ( n + 1) d

• a_n= a₁ - ( n + 1) d

3. In the Arithmetic Progression, d stands for?

• the difference between terms

• the product between terms

• the common difference between terms

• the common denominator between terms

4. In the sequence 1, 11, 21, 31, … what is d?

• 10

• 11

• -11

• none of the above

5. In the sequence -3, -1, 1, 3, … What is d?

• 3

• -1

• -2

• 2

6. In the Geometric sequence 4, 8, 16, 32, … What is r?

• 2

• 4

• 6

• 8

7. If a₁=3 and r= 2, What is a₂₅?

• 50,331,648

• 51,331,649

• 50,331,649

• 51,331,648

8. In the Geometric sequence 8, 64, 512, 4096, ... r=8. What is a₆?

• 264,144

• 262,144

• 261,143

• 260,143

9. Find the value of a₆ if the first term 5, the second term is 10 and r=2.

• 180

• 160

• 140

• 120

10. Find the sum of the first 200 natural numbers. 1+2+3+…+199+200

• 20,200

• 20,210

• 20,110

• 20,100