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Mathematics → Sequence & Series Quiz

**Pages: 1 | 2**

**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) 2^{8}

(B) 2^{10}

(C) 3^{8}

(D) 3^{10}

**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 n^{2}. For example, the sum of the first 2 odd numbers is 2^{2}=4 (1+3=4), and the sum of the first 3 odd numbers is 3^{2}=9 (1+3+5=9).