Mathematics → Sequence & Series Quiz

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6. What is the sum of the sequence: 10, 20, 30, …., 1000 ?
(A) 50,000
(B) 50,250
(C) 50,500
(D) 50,750

7. What is the sum of the sequence: 1, 10, 100, 1000, … 1,000,000,000 ?
(A) 11,111,111,11
(B) 11,111,111,90
(C) 99,999,999,11
(D) 99,999,999,99

8. what is the 11^th term of the sequence: 1, 3, 9, 27, …. ?
(A) 2⁸
(B) 2¹⁰
(C) 3⁸
(D) 3¹⁰

9. What is the sum of the first 100 natural numbers?
(A) 5,000
(B) 5,025
(C) 5,050
(D) 5,100

10. What is the sum of the first 100 odd numbers?
(A) 9,000
(B) 10,000
(C) 11,000
(D) 12,000

ANSWERS: SEQUENCE & SERIES QUIZ
6. C
7. A
8. D
9. C
10. B

SOLUTIONS: SEQUENCE & SERIES QUIZ

Summation of arithmetic sequence formula is used.

This is a geometric sequence with common ratio 10 i.e. 10/1=10, 100/10=10, 1000/100=10 and so on….

NOTE: Natural numbers are: 1, 2, 3, 4, …. and their sum up to n numbers is calculated using the given formula.

NOTE: Odd numbers are: 1, 3, 5, 7 …. and the sum for the first n odd numbers is calculated by n². For example, the sum of the first 2 odd numbers is 2²=4 (1+3=4), and the sum of the first 3 odd numbers is 3²=9 (1+3+5=9).