Mathematics
Easy

Question

# Which term of the Arithmetic Sequences: 27 , 24 , 21 ,........ is zero?

## 8th  10th9th11th Hint:

## The correct answer is: 10th

### The given sequence is 27, 24, 21, …The given term is 0. We have to find it’s position.The first term of the progression is a1 = 27Common 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. It can be negative or positive number. It can also have value zero.The common difference is d = 24 - 27d = -3The formula for nth term of a arithmetic progression is given as follows:an = a1 + (n – 1)dWe will substitute the values.an = 27 + (n – 1)(-3)0 = 27 + (-3n + 3)0 = 30 – 3nRearranging the terms.30 – 3n = 03n = 30n = 10So, zero is the 10th term of the given sequence.

For such questions, we should know the formula to find any number of the terms. We should also know about common difference.

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