If (1 + x - 3x^2)^ 2145 = a_0 + a_1x + a_2x^2 + ......... then a_… - Vidyadip

MCQ

If $(1 + x - 3x^2)^{2145} = a_0 + a_1x + a_2x^2 + .........$ then $a_0 - a_1 + a_2 - a_3 + ..... $ ends with

A
$1$
✓
$3$
C
$7$
D
$9$

✓

Answer

Correct option: B.

$3$

b
Put $x = - 1 ; (- 3)^{2145} = a_0 - a_1 + a_2 - a_3 + ...... ; - (3)^{2145}$

$ = - (3^4)^{536} · 3$ $\Rightarrow$ ends no. $3$

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