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The sum of the first three terms of an Arithmetic Progres...

The sum of the first three terms of an Arithmetic Progression (A.P) is 18. If the first term is 4, find their product

A.

130

B.

192

C.

210

D.

260

Correct answer is B

Sn=n2(2a+(n1)d) ( for an arithmetic progression)

S3=18=32(2(4)+(31)d)

18=32(8+2d)

18=12+3d3d=6

d=2

Their product = 4 \times 6 \times 8 = 192