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

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. How to Solve Age Problems with Ratio

    Mar 28, 24 02:01 AM

    How to Solve Age Problems with Ratio

    Read More

  2. AP Calculus BC Integration of Rational Functions by Partical Fractions

    Mar 26, 24 11:25 PM

    AP Calculus BC Integration of Rational Functions by Partical Fractions (Part - 1)

    Read More

  3. SAT Math Practice

    Mar 26, 24 08:53 PM

    satmathquestions1.png
    SAT Math Practice - Different Topics - Concept - Formulas - Example problems with step by step explanation

    Read More