Cheenta has planed to initiate a problem solving Marathon with existing students. Here we are providing the problems and hints of “Problem Solving Marathon Week 1“. The Set comprises three levels of questions as following-Level 0- for Class III-V; Level 1- for Class VI-VIII; Level 2- for the class IX-XII. You can post your alternative idea/solution in here.

Level 0

(Q.1)Which of the following is equal to ?

Hint 1 Calculate

Hint 2 Try to use the fact

(Q.2)Let and be the following sums of arithmetic sequences:
What is the value of ?

Hint 1 Observe that how many terms are there, in and . If there are nos. of terms then pair up like term, term, term, term

Hint 2 If you add the elements of every pair, then you will get same result of every pair.