Mathematics
Easy

Question

# If the sum of three numbers in an Arithmetic Sequences is 9 and their product is 24, then numbers are……

## 2 , 4 , 6  1 , 5 , 3  2 , 8 , 42 , 3 , 4 Hint:

## The correct answer is: 2 , 3 , 4

### The sum of the three terms is 9.The product of the three terms is 24.The common difference is denoted by d.Common difference is the fixed difference between the consecutive numbers of the sequence. We have to add the common difference to the preceding term, to get the next term. Using this concept, we can write the terms as follows:a – d , a, a + dSum of the terms is given as follows:(a – d) + a + (a + d) = 9a – d + a + a + d = 93a = 9a = 3Product of the terms is given as follows:(a – d) × (a) × (a + d) = 24Substituting the value of a in the above equation we get,(3 – d)(3 + d)(3) = 24Dividing both the sides by 3.(3 – d)(3 + d) = 89 – d = 8d = 1d = 1Taking a = 3 and d = 1The terms are 3 – 1, 3, 3 + 1 = 2, 3, 4Taking a = 3 and d = -1The terms are 3 – (-1), 3, 3 +(-1) = 4, 3, 2Therefore, the numbers in the sequence are 2, 3, 4 or 4, 3, 2.

For such questions, we should know the formula to find any number lf term.

### Related Questions to study  #### With Turito Foundation. #### Get an Expert Advice From Turito.  