Suppose x 1 , x 2 , x 3 , … , x 100 x_1, x_2, x_3, \dots, x_{100} x 1 ​ , x 2 ​ , x 3 ​ , … , x 100 ​ are in arithmetic progression such that x 5 = − ...

Question

Suppose

x1,x2,x3,,x100x_1, x_2, x_3, \dots, x_{100}
are in arithmetic progression such that
x5=4x_5 = -4
and
2x6+2x9=x11+x132x_6 + 2x_9 = x_{11} + x_{13}
. Then,
x100x_{100}
equals:

Options

A.

204

B.

-194

C.

-196

D.

206

cat 2024arithmetic progressionap formula

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