1.

The sum of three consecutive terms of an ap is 30 their product is 360.find the terms​

Answer»

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Given:

The sum of THREE CONSECUTIVE numbers —

(a-d)+a+(a+d)=30

3a=30

a=10

The PRODUCT of three consecutive numbers are —

(a - d) \: a \:( a + d) = 360 \\ by \: substituting \: value \: of \: a \\ (10 - d) \: 10 \:(10 +  d) = 360 \\ 100 -  {d}^{2}  = 360 \\ 100 - 36 =  {d}^{2}  \\  {d}^{2}  = 64  \:  \:  \:  \: ➞d = 8

Hence the TERMS are 10,18,26....

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