Let {S} be the sum of the first 9 terms of the series: \{x+k a\}+ \{x^{2}+(k+2) a \} + \{x^{3}+(k+4) a \}+ \{ {x}^{4}+( {k}+6) {a} \}+.... . . where {a} \\neq0 and {x} \\neq1 . If {S}={{x}^{10}-{x}+45 {a}( {x}-1)}/{ {x}-1},then {k} is equal to : [2 Sep 2020 Shift 2]

Sequences and Series Part 1

Section: Mathematics

Question : 12 of 100

Marks: +1, -0

Let S be the sum of the first 9 terms of the series:
{x+ka}+{x2+(k+2)a} +{x3+(k+4)a}+ {x4+(k+6)a}+...... where a≠0 and x≠1. If S=

x10−x+45a(x−1)

x−1

,then k is equal to :

[2 Sep 2020 Shift 2]

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