If `a_n` is the digit in the unit's place of the number `1!+2! +.. ..+n!` then `a_1+a_3+a_5+a_7+.....+a_13=?`

(1 + x+x^2)^8 = a_0 + a_1x +…….+a_16 x^16 then a_1 - a_3 + a_5- a_7 + ……..-a_15=

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+.......a_(n-1)+2a_n is

A sequence of number is represented as a_1, a_2, a_3,….a_n . Each number in the sequence (except the first and the last) is the mean of the first two adjacent numbers in the sequece. If a_(1) = 1 and a_5 = 3 , what is hte value of a_(3) ?

Find the terms indicated in the following case : a_n =(n-1)(2-n) (3+n), a_1, a_2, a_3 .

FOr an integer nlt2, we have real numbers a_1,a_2,a_3,a_4,..........,a_n such that a_2+a_3+a_4+.......+a_n=a1 and a_1+a_3+a_4+...........+a_n=a_2...............a_1+a_2+a_3+..............+a_(n-1)=a_n what is the value of a_1+a_2+a_3+........+a_n?