SPECIAL SERIES WORKSHEET

Evaluate the following series :

(i) 1 + 2 + 3 +............+ 60        Solution

(ii) 3 + 6 + 9 + ............+ 96       Solution

(iii) 51 + 52 + 53 +............+ 92       Solution

(iv) 1 + 4 + 9 + 16 +...............+ 225       Solution

(v) 62 + 72 + 82 +........+212       Solution

(vi) 103 + 113 + 123 +.........+ 203       Solution

(vii) 1 + 3 + 5 +.............+ 71       Solution

(2)  If 1 + 2 + 3 + ...........+ k = 325 , then find 13 +23 + 33 +......+ k3.          Solution

(3)  If 13 + 23 + 33 +............+ k3 = 44100 then find 1 + 2 + 3 +......+k .          Solution

(4)  How many terms of the series 13 + 23 + 33 +............  should be taken to get the sum 14400?    Solution

(5)  The sum of the squares of the first n natural numbers is 285, while the sum of their cubes is 2025. Find the value of n.    Solution

(6)  Rekha has 15 square colour papers of sizes 10 cm, 11 cm, 12 cm,…, 24 cm. How much area can be decorated with these colour papers?    Solution

(7)  Find the sum of the series (23 - 1) + (43 - 33) + (63 - 53)+....... to (i) n terms (ii) 8 terms    Solution

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Order of Operations Worksheet

    Jul 24, 24 03:02 AM

    orderofoperations1.png
    Order of Operations Worksheet

    Read More

  2. Order of Operations

    Jul 24, 24 03:01 AM

    order-of-operations.png
    Order of Operations - Concept - Solved Examples

    Read More

  3. PEMDAS Rule Worksheet

    Jul 24, 24 02:50 AM

    pemdas-rule-worksheet
    PEMDAS Rule Worksheet

    Read More