#a_1=1/1^2# #a_2=1/2^2+2/2^2# #a_3=1/3^2+2/3^2+3/3^2# #a_4=1/4^2+2/4^2+3/4^2+4/4^2# #a_n=#?
1 Answer
Explanation:
This question is more about observation than doing maths,
Look for the pattern that is given with the rows of numbers and then do the same with
What do we see?
- each term consists of a fraction
- the numerators increase by
#1# each time - each value in the denominator is squared
- the denominators change, but the number is the same as the row and the same as the subscript of the
#a# on the left hand side. - the number of terms is the same as the subscript.
- in the last term the numerator is the same as the subscript
Continuing the pattern would give the
For the