શ્રેણીનો સરવાળો 1+6+(9(1^(2)+2^(2)+3^(2))/(7) + (12(1^(2)+2^(2)+3 ^(2)+4^(2))/(9)+(15(1^(2)+2^...

The sum of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7) + (12(1^(2)+2^(2)+3^(2)+4^(2)))/(9)+(15(1^(2)+2^(2)+...+5^(2)))/(11)+... up to 15 terms is

Find sum of first 15 term of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7)+(12(1^(2)+2^(2)+3^(2)+4^(2)))/(9) (1) 7620 (2) 7280 (3) 7820 (4) 7067

(1^(2)-2^(2)+3^(2)) + (4^(2)-5^(2)+6^(2))+(7^(2)-8^(2)+9^(2))….30 terms

Observe the following pattern 1^(2)=(1)/(6)[1x(1+1)x(2x1+1)]1^(2)+2^(2)=(1)/(6)[2x(2+1)x(2x2+1)]1^(2)+2^(2)+3^(2)=(1)/(6)[3x(3+1)x(2x3+1)]1^(2)+2^(2)+3^(2)+4^(2)=(1)/(6)[4x(4+1)x(2x4+1)] and find the values of each of the following 1^(2)+2^(2)+3^(2)+4^(2)++10^(2)5^(2)+6^(2)+7^(2)+8^(2)+9^(2)+10^(2)+11^(2)+12^(2)

(+7)+(+2)= (1) +9 (2) -9 (3) +5 (4) -5

9(3)/(4)-:[2(1)/(6)+{4(1)/(3)-(1(1)/(2)+1(3)/(4))}]

Solve the following: Select the rational numbers from the list which are also the integers. (9)/(4), (8)/(4), (7)/(4), (6)/(4), (9)/(3), (8)/(3), (7)/(3), (6)/(3), (5)/(2), (4)/(2), (3)/(1), (3)/(2), (1)/(1), (0)/(1), (-1)/(1), (-2)/(1), (-3)/(2), (-4)/(2), (-5)/(2), (-6)/(2) ,