Question

If the Sum and product of 3 consecutive terms
of an A.P. are 18and 432 respectively then the terms
​

Answer 1

Answer:

ɢɪᴠᴇɴ:-

★ Sum of three consecutive terms of AP = 18

★ Product of three consecutive terms of AP = 432

ᴛᴏ ғɪɴᴅ :-

★ Consecutive terms

sᴏʟᴜᴛɪᴏɴ:-

Let the three consecutive terms be a, a+d & a-d

✰According to the question, we can write ____

a + a +d + a-d = 18

➱ 3a =18

➱ a = 6

✏Product of three consecutive terms ____

a * ( a+d) *( a-d) = 432

➱ ( a^2 - d^2) = 72 ( putting the value of a = 6)

➱ d = √36

✏Hence, three consecutive terms are ___

➟ a = 6

➟ (a-d) = 0

➟ ( a+d) = 12

✔(when, d = +6)

✏Again, three consecutive terms are ___

➟ a = 6

➟ (a-d) = 12

➟ (a+d) = 0

✔( when, d =-6)

Hence,

Three consecutive terms ____

☞ 0,6,12

Or,

☞ 12, 6, 0

${\huge{\mathcal{\tt{Hope \ It \ Helps..!!!}}}}$